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tau or refactorable numbers
A number divisible by the number of its divisors. more

The first 600 tau or refactorable numbers :
1, 2, 8, 9, 12, 18, 24, 36, 40, 56, 60, 72, 80, 84, 88, 96, 104, 108, 128, 132, 136, 152, 156, 180, 184, 204, 225, 228, 232, 240, 248, 252, 276, 288, 296, 328, 344, 348, 360, 372, 376, 384, 396, 424, 441, 444, 448, 450, 468, 472, 480, 488, 492, 504, 516, 536, 560, 564, 568, 584, 600, 612, 625, 632, 636, 640, 664, 672, 684, 708, 712, 720, 732, 776, 792, 804, 808, 824, 828, 852, 856, 864, 872, 876, 880, 882, 896, 904, 936, 948, 972, 996, 1016, 1040, 1044, 1048, 1056, 1068, 1089, 1096, 1112, 1116, 1152, 1164, 1176, 1192, 1200, 1208, 1212, 1224, 1236, 1248, 1250, 1256, 1260, 1284, 1304, 1308, 1332, 1336, 1344, 1356, 1360, 1368, 1384, 1408, 1432, 1440, 1448, 1476, 1520, 1521, 1524, 1528, 1544, 1548, 1572, 1576, 1592, 1620, 1632, 1644, 1656, 1664, 1668, 1680, 1688, 1692, 1784, 1788, 1800, 1812, 1816, 1824, 1832, 1840, 1864, 1884, 1908, 1912, 1920, 1928, 1944, 1956, 1980, 2000, 2004, 2008, 2016, 2025, 2056, 2076, 2088, 2104, 2124, 2148, 2152, 2160, 2168, 2172, 2176, 2178, 2196, 2208, 2216, 2232, 2240, 2248, 2264, 2292, 2316, 2320, 2340, 2344, 2364, 2388, 2412, 2432, 2456, 2480, 2488, 2504, 2532, 2536, 2556, 2560, 2601, 2628, 2640, 2648, 2664, 2676, 2688, 2696, 2700, 2724, 2748, 2772, 2776, 2784, 2792, 2796, 2824, 2844, 2868, 2872, 2892, 2904, 2936, 2944, 2952, 2960, 2976, 2984, 2988, 3012, 3032, 3042, 3060, 3064, 3084, 3096, 3112, 3120, 3156, 3168, 3176, 3204, 3208, 3228, 3240, 3249, 3252, 3272, 3276, 3280, 3324, 3352, 3360, 3368, 3372, 3384, 3396, 3420, 3440, 3448, 3456, 3464, 3492, 3512, 3516, 3528, 3544, 3552, 3592, 3600, 3636, 3656, 3684, 3688, 3704, 3708, 3712, 3732, 3736, 3744, 3756, 3760, 3804, 3816, 3832, 3852, 3896, 3924, 3928, 3936, 3968, 3972, 3992, 4024, 4032, 4044, 4050, 4056, 4068, 4072, 4080, 4128, 4140, 4164, 4168, 4184, 4188, 4224, 4236, 4240, 4248, 4284, 4308, 4320, 4328, 4376, 4392, 4404, 4456, 4476, 4480, 4500, 4504, 4512, 4548, 4552, 4560, 4568, 4572, 4596, 4616, 4668, 4696, 4716, 4720, 4736, 4744, 4761, 4764, 4788, 4792, 4808, 4812, 4824, 4856, 4860, 4880, 4896, 4904, 4908, 4928, 4932, 4936, 4952, 4992, 5000, 5004, 5028, 5040, 5048, 5052, 5088, 5112, 5128, 5144, 5148, 5172, 5176, 5196, 5202, 5220, 5224, 5248, 5256, 5268, 5272, 5280, 5288, 5292, 5316, 5360, 5364, 5384, 5388, 5416, 5436, 5464, 5472, 5484, 5504, 5520, 5528, 5532, 5556, 5580, 5604, 5608, 5625, 5652, 5664, 5672, 5680, 5688, 5748, 5752, 5760, 5796, 5816, 5824, 5840, 5844, 5856, 5864, 5868, 5892, 5912, 5944, 5976, 5988, 6000, 6008, 6012, 6016, 6036, 6048, 6056, 6088, 6108, 6144, 6152, 6160, 6184, 6228, 6240, 6252, 6276, 6296, 6320, 6376, 6408, 6432, 6444, 6472, 6488, 6492, 6498, 6516, 6528, 6561, 6564, 6568, 6584, 6616, 6624, 6632, 6640, 6660, 6684, 6712, 6720, 6732, 6756, 6784, 6804, 6816, 6824, 6828, 6852, 6856, 6872, 6876, 6904, 6912, 6924, 6936, 6948, 6960, 6984, 7008, 7016, 7040, 7044, 7048, 7064, 7092, 7096, 7116, 7120, 7164, 7188, 7212, 7256, 7272, 7280, 7284, 7288, 7296, 7308, 7352, 7356, 7380, 7392, 7404, 7416, 7428, 7432, 7440, 7496, 7500, 7524, 7528, 7552, 7569, 7572, 7576, 7584, 7596, 7616, 7624, 7680, 7692, 7704, 7716, 7736, 7740, 7760, 7764, 7768, 7776, 7808, 7812, 7816, 7836, 7848, 7864, 7908, 7920, 7928, 7932, 7956, 7968, 7976, 8028, 8064, 8072, 8076, 8080, 8100, 8104, 8124, 8136, 8152, 8160, 8168, 8172, 8196, 8240, 8244, 8248, 8264, 8292, 8312, 8320, 8352, 8388, 8392, 8400, 8408, 8412, 8460, 8488, 8504, 8508, 8512, 8544, 8552, 8560, 8576, 8604, 8628, 8649, 8664, 8676, 8696, 8712, 8720, 8724, 8728, 8736, 8744, 8776, 8796, 8824, 8832.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 32608999 values, from 1 to 1000000000).

n\r 0  1 
2326071861813 2 
31916238867237086722903 3 
432605862181313240 4 
570350836393929639321963929386393830 5 
619160588136722903180067236950 6 
72776071497194649722304972303497219749719744972278 7 
82224694418131324010358918000 8 
9909553722409622240998503269922413642240890503415222413822241015 9 
107034706718639321906393112377639321106392938718 10 
1112782443133538313299131330083132776313316131328003133464313317231328273133018

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.