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super Niven numbers
A number divisible by the sum of any subset of its (nonzero) digits. more

The first 600 super Niven numbers :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 20, 24, 30, 36, 40, 48, 50, 60, 70, 80, 90, 100, 102, 110, 120, 140, 150, 200, 204, 210, 220, 240, 280, 300, 306, 330, 360, 400, 408, 420, 440, 480, 500, 510, 540, 550, 600, 630, 660, 700, 770, 800, 840, 880, 900, 990, 1000, 1002, 1008, 1010, 1020, 1040, 1050, 1080, 1100, 1110, 1140, 1200, 1320, 1400, 1440, 1500, 1800, 2000, 2004, 2010, 2016, 2020, 2040, 2080, 2100, 2200, 2220, 2280, 2400, 2520, 2640, 2800, 2880, 3000, 3006, 3030, 3060, 3120, 3300, 3330, 3600, 3960, 4000, 4008, 4020, 4040, 4080, 4100, 4200, 4400, 4440, 4500, 4800, 5000, 5010, 5040, 5050, 5100, 5400, 5500, 5550, 6000, 6030, 6060, 6240, 6300, 6600, 6660, 7000, 7070, 7700, 7770, 8000, 8040, 8080, 8200, 8400, 8800, 8880, 9000, 9090, 9360, 9900, 9990, 10000, 10002, 10008, 10010, 10020, 10040, 10050, 10080, 10100, 10110, 10140, 10200, 10320, 10400, 10440, 10500, 10800, 11000, 11010, 11040, 11100, 11220, 11400, 12000, 12120, 12300, 12600, 13020, 13200, 14000, 14040, 14100, 14400, 15000, 15120, 18000, 20000, 20004, 20010, 20020, 20040, 20080, 20100, 20160, 20200, 20220, 20280, 20400, 20640, 20800, 20880, 21000, 21120, 21300, 22000, 22020, 22080, 22200, 22440, 22800, 23100, 24000, 24240, 24600, 25200, 26040, 26400, 28000, 28080, 28200, 28800, 30000, 30006, 30030, 30060, 30120, 30240, 30300, 30330, 30600, 30960, 31020, 31200, 32100, 33000, 33030, 33300, 33660, 34020, 36000, 36360, 36900, 39060, 39600, 40000, 40008, 40020, 40040, 40080, 40100, 40200, 40320, 40400, 40440, 40500, 40800, 41000, 41040, 41100, 41400, 42000, 42240, 42600, 44000, 44040, 44400, 44880, 45000, 46200, 48000, 48480, 50000, 50010, 50040, 50050, 50100, 50400, 50500, 50550, 51000, 52500, 54000, 55000, 55020, 55050, 55500, 60000, 60030, 60060, 60240, 60300, 60480, 60600, 60660, 62040, 62400, 63000, 63360, 63900, 64200, 66000, 66060, 66600, 68040, 69300, 70000, 70070, 70700, 70770, 77000, 77070, 77700, 80000, 80040, 80080, 80200, 80400, 80640, 80800, 80880, 81000, 82000, 82080, 82200, 82800, 84000, 84480, 88000, 88080, 88800, 90000, 90090, 90360, 90900, 90990, 91800, 93060, 93600, 96300, 99000, 99090, 99900, 100000, 100002, 100008, 100010, 100020, 100040, 100050, 100080, 100100, 100110, 100140, 100200, 100320, 100400, 100440, 100500, 100800, 101000, 101010, 101040, 101100, 101220, 101400, 101640, 102000, 102120, 102300, 103020, 103200, 103320, 104000, 104040, 104100, 104400, 105000, 108000, 110000, 110010, 110040, 110100, 110220, 110400, 111000, 111120, 111300, 112020, 112200, 113100, 113400, 114000, 115500, 120000, 120120, 120300, 121020, 121200, 122100, 123000, 126000, 130020, 130200, 131040, 131100, 132000, 135000, 140000, 140040, 140100, 140400, 141000, 141120, 144000, 150000, 151200, 153000, 180000, 200000, 200004, 200010, 200020, 200040, 200080, 200100, 200200, 200220, 200280, 200340, 200400, 200640, 200800, 200880, 201000, 201120, 201300, 201600, 202000, 202020, 202080, 202200, 202440, 202800, 203100, 204000, 204120, 204240, 204600, 206040, 206400, 206640, 208000, 208080, 208200, 208800, 210000, 210120, 210300, 211020, 211200, 212100, 213000, 214200, 220000, 220020, 220080, 220200, 220440, 220500, 220800, 221100, 222000, 222240, 222600, 223020, 224040, 224400, 226200, 226800, 228000, 230100, 231000, 240000, 240240, 240600, 242040, 242400, 244200, 246000, 252000, 260040, 260400, 262080, 262200, 264000, 277200, 280000, 280080, 280200, 280800, 282000, 282240, 288000, 300000, 300006, 300030, 300060, 300120, 300300, 300330, 300600, 300960, 301020, 301200, 302100, 302400, 303000, 303030, 303300, 303660, 306000, 306360, 306900, 309060, 309600, 309960, 310020, 310200, 311100, 312000, 315000, 320040, 320100, 321000, 330000, 330030, 330120, 330300, 330660, 333000, 333360, 333900, 336060, 336600, 339300, 340200, 351000, 357000, 360000, 360360, 360900, 363060, 363600, 366300, 369000, 390060, 390600, 393300, 396000, 400000, 400008, 400020, 400040, 400080, 400100, 400200, 400400, 400440, 400500, 400680, 400800, 401000, 401040, 401100, 401400, 402000, 402240, 402600, 403200, 404000, 404040, 404400, 404880, 405000, 406200, 408000, 408240, 408480, 409500, 410000, 410040, 410100, 410400, 411000, 414000, 420000, 420240, 420600, 422040, 422400, 424200, 426000, 428400, 440000, 440040, 440400, 440880, 441000, 442200.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 19944 values, from 1 to 48888000000).

n\r 0  1 
2199395 2 
319473233238 3 
41968132582 4 
51988218122012 5 
619471223722311 6 
78500190819001908190619151907 7 
81691421471276711111 8 
9102461205638076012754205355 9 
10198811111111171191 10 
1135941450169917391792160316291693177915731393

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.