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harmonic divisor numbers
A number such that the harmonic mean of its divisors is an integer. more

The first 600 harmonic divisor numbers :
1, 6, 28, 140, 270, 496, 672, 1638, 2970, 6200, 8128, 8190, 18600, 18620, 27846, 30240, 32760, 55860, 105664, 117800, 167400, 173600, 237510, 242060, 332640, 360360, 539400, 695520, 726180, 753480, 950976, 1089270, 1421280, 1539720, 2178540, 2229500, 2290260, 2457000, 2845800, 4358600, 4713984, 4754880, 5772200, 6051500, 8506400, 8872200, 11981970, 14303520, 15495480, 16166592, 17428320, 18154500, 23088800, 23569920, 23963940, 27027000, 29410290, 32997888, 33550336, 37035180, 44660070, 45532800, 46683000, 50401728, 52141320, 56511000, 69266400, 71253000, 75038600, 80832960, 81695250, 90409410, 108421632, 110583200, 115048440, 115462620, 137891520, 142990848, 144963000, 163390500, 164989440, 191711520, 221557248, 233103780, 255428096, 287425800, 300154400, 301953024, 318177800, 318729600, 326781000, 400851360, 407386980, 423184320, 428972544, 447828480, 459818240, 481572000, 499974930, 500860800, 513513000, 526480500, 540277920, 559903400, 623397600, 644271264, 675347400, 714954240, 758951424, 766284288, 819131040, 825120800, 886402440, 900463200, 995248800, 1047254400, 1162161000, 1199250360, 1265532840, 1307124000, 1352913408, 1379454720, 1381161600, 1509765120, 1558745370, 1630964808, 1632825792, 1727271000, 1862023680, 1867650048, 2008725600, 2140041600, 2144862720, 2369162250, 2481357060, 2701389600, 2705020500, 2716826112, 2738824704, 2763489960, 2777638500, 2839922400, 2876211000, 2945943000, 3134799360, 3209343200, 3221356320, 3288789504, 3328809120, 3349505250, 3506025600, 3594591000, 3702033720, 3740553180, 3831421440, 4143484800, 4146734592, 4720896180, 4738324500, 5058000640, 5133201408, 5275179000, 5297292000, 5510647296, 5579121240, 5943057120, 6720569856, 7279591410, 7330780800, 7515963000, 8104168800, 8154824040, 8243595360, 8410907232, 8436460032, 8589869056, 8628633000, 8659696500, 8696764800, 8698459616, 9866368512, 10200236032, 10575819520, 10597041000, 10597759200, 10952611488, 10983408128, 11076156000, 11296276992, 11480905800, 12941019000, 13067913600, 13073550336, 13398021000, 13581986600, 13584130560, 13660770240, 14182439040, 14254365440, 14378364000, 14541754500, 14980291200, 15174001920, 15192777600, 15358707000, 16003510272, 16569653760, 16919229600, 17624538624, 18999981000, 19017782784, 19209881600, 19744452000, 20015559200, 20387256120, 21537014400, 21611457280, 21943595520, 22633884000, 22933532160, 23450730240, 23855232960, 24362612820, 25559301600, 25666007040, 26113432800, 26242070400, 26454556800, 27122823000, 27689243400, 27726401736, 29715285600, 30063852000, 30600708096, 31638321000, 31727458560, 31766716800, 32950224384, 32956953120, 33040072800, 34174812672, 34482792960, 35032757760, 35793412200, 37906596000, 39970476000, 40053686400, 40520844000, 40752391680, 40805200800, 42054536160, 42763096320, 43783188480, 43861478400, 43952044500, 44184172032, 45578332800, 45923623200, 50497467930, 51001180160, 52748186400, 53227843200, 53621568000, 54572427000, 54648009000, 56481384960, 57575890944, 57629644800, 57648181500, 57897151488, 59388963480, 61434828000, 62487000576, 64834371840, 64914595200, 66433720320, 67622100480, 71271827200, 73924348400, 77120316000, 77924700000, 78340298400, 80422524000, 80533908000, 80551516500, 81417705600, 81488534400, 83410119000, 84418425000, 87825283840, 89526646440, 93419333280, 95088913920, 95300150400, 97941285120, 100383241728, 100522566144, 103262796000, 108061356200, 109111766400, 109585986048, 110886522600, 112202596352, 115987576320, 123014892000, 124406100000, 126090783000, 133410461184, 134369095680, 137438691328, 137770869600, 142275893760, 142985422944, 143173648800, 147112449120, 150115204512, 150759100800, 151955343540, 153003540480, 154567413000, 156473635500, 156798019840, 159248314400, 159381986400, 164297299320, 164751121920, 169696449000, 169956154368, 183694492800, 194743785600, 201532767744, 206166804480, 213815481600, 217494027520, 220524885504, 220920860160, 221908282624, 227783556000, 234605428736, 236489897160, 237191556096, 240423674400, 250230357000, 271309925250, 280541488500, 285266741760, 287879454720, 288662774400, 289048687200, 292337717760, 307001350656, 307030348800, 311203567584, 312402636000, 321300067176, 326196097920, 330097622400, 336607789056, 341519256000, 349002044160, 350280184800, 362526484320, 384342364800, 403031236608, 405280060416, 410240742912, 417624936960, 426778934400, 428440390560, 428555439000, 429520946400, 434508127200, 437409004032, 439655610240, 443622427776, 465036042240, 469420906500, 470717137800, 479411093504, 482476262400, 483548738400, 494122282290, 502612830720, 505159855200, 513480135168, 518453342208, 520212037632, 547929930240, 583096381560, 586207480320, 603567619200, 616719527424, 618269652000, 626112396000, 633926092800, 652482082560, 653289436800, 661576406400, 666574634880, 677701763200, 693688413600, 703816286208, 704575228896, 713178090240, 726673802400, 726972637440, 753132796416, 765181053000, 779729094144, 783990099200, 793104238080, 819730138500, 830350521000, 861743282400, 863638364160, 869516291840, 888875820360, 888988066400, 893835790848, 906550977024, 945884459520, 950432517216, 970956604800, 995024181060, 997978703400, 1018809792000, 1058501001600, 1070373679200, 1076349859200, 1085239701000, 1103539437000, 1109541413120, 1135890756000, 1144136294400, 1159571485800, 1161528261600, 1175104476000, 1179832600464, 1200229430400, 1209584724480, 1211621062400, 1219581548640, 1233377308800, 1253107608480, 1288623772800, 1324245491712, 1325481830400, 1330464844800, 1331785072800, 1369947647250, 1377031864320, 1386998613000, 1413817996500, 1438233280512, 1447428787200, 1480003190400, 1482760097280, 1507838492160, 1517389419000, 1542738616320, 1553357978368, 1556017837920, 1567241676000, 1571198926080, 1578475971072, 1584792261000, 1599300612000, 1626268644000, 1656012758400, 1681994012160, 1683038945280, 1708842189600, 1721209990500, 1773515487744, 1784852619264, 1801169758080, 1862961762816, 1886043571200, 1888271330400, 1919938116096, 1924339334400, 1948245082112, 1959868310400, 1987794251520, 2015156183040, 2020639420800, 2021976333000, 2033105289600, 2051203714560, 2059445329920, 2061489484800, 2066882988800, 2070303429600, 2096328767456, 2112394079250, 2128528765440, 2130069916800, 2172650274816, 2183877423000, 2198278051200, 2236152828000, 2259816300000, 2267834849280, 2312019021312, 2335483332000, 2363575441500, 2439654963200, 2448134325000, 2448278300160, 2468667064500, 2471771484000, 2520477679104, 2567400675840, 2608548875520, 2627456832000, 2644660418400, 2677752441000, 2706066874368, 2708593305600, 2708845856640, 2709493768800, 2827553208480, 2915401724928, 2965353955200, 3076882754400, 3105356994432, 3175969724928, 3218345676000, 3238966130400, 3321402084000, 3356538237000, 3377333836800, 3398177502720, 3448576989000, 3500961340800, 3519081431040, 3522876144480, 3531726240768, 3607776900000, 3622293071600, 3634863187200, 3772440804608, 3777406841600, 3881325763840, 3946161492000, 3962552630400, 3990762504960, 3991394534400, 4029093232640, 4205037804800, 4224973334400, 4240965560832, 4314435969536, 4346661822720, 4409499089268, 4437102673920, 4517245877760, 4537735429500, 4603679570880, 4612268729250, 4638285943200, 4660073935104, 4694568278400, 4712844296160, 4713692054400, 4741836503040, 4752162586080, 4824711643136, 4832764209000, 4903097162600, 4959751305600, 5085231579136, 5111051997870, 5148385482240, 5268640785408, 5289640356000, 5290460648928, 5431874152320, 5469709639680, 5681022328800, 5745853670400, 5808057260544, 5853911263200, 5914045683000, 5914410203520, 5956949980800, 6045468549120, 6073712944992, 6175225017000, 6200648966400, 6312101796000, 6343192620800, 6352588408320, 6355147895040, 6669629366400, 6734495875072, 6764077878600, 6793110213120, 6844445080704, 6884622108000.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 937 values, from 1 to 98079457512960).

n\r 0  1 
29361 2 
38273773 3 
49051310 4 
574950395247 5 
68271730360 6 
7804241219272229 7 
8857122048090 8 
970120227981947932 9 
107491390470490520 10 
1141664473752475748575458

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.