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Harshad numbers
A number divisible by the sum of its digits. more

The first 600 Harshad numbers :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 102, 108, 110, 111, 112, 114, 117, 120, 126, 132, 133, 135, 140, 144, 150, 152, 153, 156, 162, 171, 180, 190, 192, 195, 198, 200, 201, 204, 207, 209, 210, 216, 220, 222, 224, 225, 228, 230, 234, 240, 243, 247, 252, 261, 264, 266, 270, 280, 285, 288, 300, 306, 308, 312, 315, 320, 322, 324, 330, 333, 336, 342, 351, 360, 364, 370, 372, 375, 378, 392, 396, 399, 400, 402, 405, 407, 408, 410, 414, 420, 423, 432, 440, 441, 444, 448, 450, 460, 465, 468, 476, 480, 481, 486, 500, 504, 506, 510, 511, 512, 513, 516, 518, 522, 531, 540, 550, 552, 555, 558, 576, 588, 592, 594, 600, 603, 605, 612, 621, 624, 629, 630, 640, 644, 645, 648, 660, 666, 684, 690, 700, 702, 704, 711, 715, 720, 730, 732, 735, 736, 738, 756, 770, 774, 777, 780, 782, 792, 800, 801, 803, 804, 810, 820, 825, 828, 832, 840, 846, 864, 870, 874, 880, 882, 888, 900, 902, 910, 912, 915, 918, 935, 936, 954, 960, 966, 972, 990, 999, 1000, 1002, 1008, 1010, 1011, 1012, 1014, 1015, 1016, 1017, 1020, 1026, 1032, 1035, 1040, 1044, 1050, 1053, 1056, 1062, 1066, 1071, 1080, 1088, 1090, 1092, 1095, 1098, 1100, 1101, 1104, 1107, 1110, 1116, 1120, 1122, 1125, 1128, 1130, 1134, 1140, 1141, 1143, 1148, 1152, 1160, 1161, 1164, 1168, 1170, 1180, 1183, 1185, 1188, 1200, 1204, 1206, 1212, 1215, 1220, 1224, 1230, 1232, 1233, 1236, 1242, 1251, 1260, 1270, 1272, 1274, 1275, 1278, 1296, 1300, 1302, 1304, 1305, 1308, 1310, 1314, 1320, 1323, 1330, 1332, 1341, 1344, 1350, 1360, 1365, 1368, 1380, 1386, 1387, 1394, 1400, 1404, 1410, 1413, 1416, 1417, 1422, 1431, 1440, 1450, 1452, 1455, 1456, 1458, 1476, 1494, 1500, 1503, 1512, 1520, 1521, 1524, 1526, 1530, 1534, 1540, 1545, 1547, 1548, 1558, 1560, 1566, 1584, 1590, 1596, 1602, 1611, 1620, 1630, 1632, 1635, 1638, 1651, 1652, 1656, 1659, 1674, 1679, 1680, 1692, 1701, 1704, 1710, 1720, 1725, 1728, 1729, 1740, 1744, 1746, 1764, 1770, 1782, 1785, 1800, 1810, 1812, 1815, 1818, 1836, 1848, 1853, 1854, 1860, 1872, 1886, 1890, 1896, 1898, 1900, 1904, 1905, 1908, 1920, 1926, 1944, 1950, 1962, 1968, 1974, 1980, 1998, 2000, 2001, 2004, 2007, 2010, 2016, 2020, 2022, 2023, 2024, 2025, 2028, 2030, 2034, 2040, 2043, 2052, 2061, 2064, 2070, 2080, 2085, 2088, 2090, 2100, 2106, 2112, 2115, 2119, 2120, 2124, 2130, 2133, 2136, 2142, 2151, 2156, 2159, 2160, 2170, 2172, 2175, 2176, 2178, 2196, 2200, 2202, 2205, 2208, 2210, 2212, 2214, 2220, 2223, 2232, 2236, 2240, 2241, 2244, 2250, 2260, 2265, 2268, 2280, 2282, 2286, 2289, 2300, 2304, 2310, 2312, 2313, 2316, 2322, 2331, 2340, 2350, 2352, 2353, 2355, 2358, 2376, 2394, 2398, 2400, 2401, 2403, 2408, 2412, 2421, 2424, 2430, 2440, 2445, 2448, 2460, 2464, 2465, 2466, 2470, 2478, 2484, 2490, 2502, 2511, 2520, 2530, 2532, 2534, 2535, 2538, 2556, 2574, 2580, 2584, 2592, 2596, 2600, 2601, 2604, 2608, 2610, 2618, 2620, 2625, 2628, 2640, 2646, 2660, 2664, 2667, 2670, 2682, 2688, 2700, 2704, 2710, 2712, 2715, 2718, 2736, 2752, 2754, 2755, 2760, 2771, 2772, 2790, 2793, 2794, 2800, 2805, 2808, 2820, 2821, 2826, 2844, 2850, 2856, 2862, 2880, 2889, 2912, 2916, 2919, 2924, 2926, 2934, 2940, 2952, 2970, 2976, 2982, 2992, 2997, 3000, 3006, 3012, 3015, 3020, 3024, 3030, 3031, 3032, 3033, 3036, 3038, 3042, 3051, 3055, 3060, 3070, 3072, 3075, 3077, 3078, 3080, 3096, 3097, 3100, 3102.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 61574510 values, from 1 to 1000000000).

n\r 0  1 
24653140215043108 2 
34388602788969878791496 3 
4323344567538463141969467504645 4 
5250031749244951955657587389889030822 5 
633087798209799866446151079822967989892146881 6 
714392891786486278647817862406786176078645827863228 7 
81878255537811347108508376050213551901375732970884383744143 8 
925228402285197131484431004376028360912578608861386532089253064445 9 
1017960661244007577924132167939740240370425136804876176416265710491628419 10 
1194291055184268524559952016985228278522193852060235241064518628452518825178371

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.