Harshad Numbers

There are 11,871 Harshad numbers that are less than 100,000. 159 of these Harshad numbers had nBABs when this collection was created.

A number is a Harshad number if the sum of its digits is a proper divisor of the number.

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, , 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, 3104, 3105, 
3108, 3110, 3114, 3120, 3123, 3132, 3141, 
3144, 3150, 3160, 3164, 3165, 3168, 3172, 
3180, 3184, 3186, 3200, 3204, 3210, 3213, 
3216, 3220, 3222, 3231, 3240, 3250, 3252, 
3255, 3258, 3268, 3276, 3290, 3294, 3297, 
3300, 3303, 3312, 3320, 3321, 3324, 3328, 
3330, 3340, 3345, 3348, 3360, 3366, 3383, 
3384, 3388, 3390, 3402, 3406, 3411, 3416, 
3420, 3430, 3432, 3435, 3438, 3439, 3456, 
3472, 3474, 3480, 3486, 3492, 3501, 3504, 
3510, 3520, 3523, 3525, 3528, 3536, 3540, 
3542, 3546, 3549, 3564, 3570, 3582, 3586, 
3600, 3610, 3612, 3615, 3616, 3618, 3636, 
3640, 3654, 3660, 3672, 3675, 3690, 3696, 
3699, 3700, 3705, 3708, 3720, 3726, 3738, 
3744, 3749, 3750, 3760, 3762, 3768, 3780, 
3781, 3784, 3816, 3834, 3840, 3842, 3852, 
3864, 3870, 3888, 3900, 3904, 3906, 3920, 
3924, 3927, 3930, 3942, 3952, 3956, 3960, 
3969, 3980, 3982, 3984, 3990, 3996, 4000, 
4002, 4005, 4008, 4010, 4014, 4020, 4023, 
4032, 4040, 4041, 4044, 4046, 4048, 4050, 
4060, 4065, 4068, 4070, 4080, 4086, 4100, 
4102, 4104, 4108, 4110, 4112, 4113, 4116, 
4122, 4131, 4140, 4148, 4150, 4152, 4155, 
4158, 4172, 4176, 4179, 4192, 4194, 4200, 
4203, 4212, 4221, 4224, 4225, 4230, 4240, 
4245, 4248, 4260, 4266, 4284, 4290, 4294, 
4302, 4311, 4320, 4330, 4332, 4335, 4336, 
4338, 4342, 4356, 4368, 4374, 4378, 4380, 
4392, 4400, 4401, 4404, 4410, 4420, 4424, 
4425, 4428, 4440, 4446, 4454, 4464, 4465, 
4470, 4480, 4482, 4488, 4494, 4500, 4510, 
4512, 4515, 4518, 4536, 4550, 4554, 4557, 
4560, 4572, 4576, 4577, 4590, 4600, 4605, 
4607, 4608, 4620, 4624, 4626, 4636, 4644, 
4650, 4662, 4680, 4683, 4698, 4716, 4734, 
4740, 4746, 4752, 4760, 4770, 4774, 4776, 
4779, 4784, 4800, 4802, 4806, 4807, 4809, 
4810, 4824, 4830, 4842, 4848, 4860, 4872, 
4880, 4887, 4912, 4913, 4914, 4920, 4932, 
4935, 4950, 4968, 4972, 4975, 4988, 4991, 
4992, 4995, 5000, 5004, 5010, 5013, 5016, 
5022, 5031, 5040, 5044, 5050, 5052, 5054, 
5055, 5056, 5058, 5060, 5066, 5076, 5094, 
5100, 5103, 5110, 5112, 5120, 5121, 5124, 
5130, 5140, 5145, 5148, 5149, 5160, 5161, 
5166, 5180, 5184, 5187, 5190, 5198, 5202, 
5211, 5219, 5220, 5230, 5232, 5235, 5238, 
5256, 5274, 5280, 5292, 5301, 5304, 5306, 
5310, 5320, 5325, 5328, 5340, 5344, 5346, 
5364, 5368, 5370, 5372, 5376, 5382, 5400, 
5410, 5412, 5415, 5418, 5432, 5436, 5439, 
5454, 5460, 5472, 5490, 5491, 5496, 5500, 
5505, 5508, 5512, 5520, 5525, 5526, 5544, 
5550, 5562, 5565, 5566, 5568, 5580, 5589, 
5616, 5628, 5632, 5634, 5640, 5652, 5662, 
5670, 5691, 5697, 5700, 5706, 5724, 5730, 
5742, 5754, 5760, 5764, 5778, 5780, 5784, 
5810, 5814, 5817, 5819, 5820, 5831, 5832, 
5833, 5850, 5856, 5859, 5875, 5876, 5880, 
5886, 5904, 5910, 5920, 5922, 5928, 5940, 
5943, 5960, 5962, 5967, 5994, 6000, 6003, 
6012, 6021, 6024, 6030, 6040, 6045, 6048, 
6050, 6060, 6062, 6064, 6066, 6069, 6084, 
6090, 6102, 6111, 6120, 6130, 6132, 6135, 
6137, 6138, 6156, 6174, 6175, 6180, 6192, 
6195, 6200, 6201, 6204, 6208, 6210, 6214, 
6220, 6225, 6228, 6240, 6246, 6258, 6264, 
6270, 6282, 6288, 6290, 6300, 6310, 6312, 
6314, 6315, 6318, 6331, 6336, 6346, 6352, 
6354, 6358, 6360, 6372, 6384, 6390, 6399, 
6400, 6405, 6408, 6420, 6426, 6440, 6443, 
6444, 6447, 6450, 6462, 6480, 6516, 6517, 
6534, 6540, 6552, 6556, 6570, 6573, 6576, 
6578, 6588, 6600, 6606, 6624, 6630, 6636, 
6640, 6642, 6647, 6648, 6660, 6669, 6680, 
6696, 6714, 6720, 6732, 6750, 6754, 6762, 
6775, 6777, 6792, 6804, 6810, 6822, 6825, 
6840, 6854, 6858, 6860, 6864, 6885, 6900, 
6902, 6912, 6930, 6936, 6939, 6951, 6952, 
6966, 6993, 7000, 7002, 7011, 7020, 7030, 
7032, 7033, 7035, 7038, 7040, 7055, 7056, 
7070, 7072, 7074, 7077, 7080, 7092, 7101, 
7104, 7110, 7120, 7125, 7128, 7140, 7146, 
7150, 7164, 7170, 7182, 7200, 7208, 7210, 
7212, 7215, 7216, 7218, 7236, 7254, 7260, 
7266, 7268, 7272, 7290, 7296, 7300, 7305, 
7308, 7320, 7322, 7326, 7329, 7344, 7348, 
7350, 7360, 7361, 7362, 7368, 7372, 7380, 
7392, 7398, 7416, 7434, 7440, 7452, 7455, 
7470, 7475, 7479, 7500, 7501, 7504, 7506, 
7514, 7518, 7524, 7530, 7542, 7543, 7546, 
7560, 7580, 7581, 7584, 7587, 7588, 7598, 
7614, 7620, 7632, 7644, 7650, 7656, 7668, 
7675, 7682, 7695, 7700, 7704, 7707, 7710, 
7714, 7722, 7728, 7740, 7744, 7748, 7749, 
7760, 7770, 7776, 7800, 7812, 7820, 7830, 
7833, 7857, 7859, 7872, 7884, 7902, 7920, 
7938, 7940, 7942, 7944, 7965, 7982, 7992, 
8000, 8001, 8004, 8010, 8020, 8025, 8028, 
8030, 8040, 8046, 8056, 8064, 8070, 8080, 
8082, 8085, 8088, 8096, 8100, 8110, 8112, 
8115, 8118, 8126, 8136, 8148, 8154, 8160, 
8172, 8190, 8200, 8203, 8204, 8205, 8208, 
8220, 8224, 8226, 8227, 8244, 8250, 8262, 
8274, 8280, 8289, 8316, 8320, 8330, 8334, 
8337, 8338, 8340, 8352, 8370, 8376, 8397, 
8400, ...., 
10000, ....., 
13131, ....., 
15000, .....,
21420, .....,
23040, .....,
59049, .....,
60606, ....., 
500000, ......
Added in 2015 and Beyond...
10100, ....., 19000, ....., 19683, ....., 19791, ....., 20000, ....., 21000, ....., 21184, ....., 26000, ....., 27972, ....., 28382, ....., 30503, ....., 32230, ....., 51315, ....., 61216, ....., 61416, ....., 61916, ....., 63936, ....., 64746, ....., 65256, ....., 65556, ....., 66366, ....., 67176, ....., 68386, ....., 69496, ....., 70707, ....., 72927, ....., 73737, ....., 74547, ....., 75357, ....., 76167, ....., 80208, ....., 80608, ....., 80808, ....., 81018, ....., 81918, ....., 82628, ....., 82728, ....., 83538, ....., 84048, ....., 84348, ....., 84448, ....., 85158, ....., 86868, ....., 88488, ....., 90909, ....., 91119, ....., 91719, ....., 92529, ....., 93339, ....., 94149, ....., 100000, ....., 101010, ....., 229230, ....., 420420, ....., 3628800, .....,

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 09 April 2014
+ added 3900 on 09 April 2014
+ added 13131 on 16 April 2014
+ added 270 on 30 April 2014
+ added 500000 on 03 May 2014
+ added 162 on 05 May 2014
+ added 4608 on 25 May 2014
+ added 441 on 12 June 2014
+ added 1520 on 16 June 2014
+ added 2448 on 02 July 2014
+ added 3996 on 26 July 2014
+ added 207 on 29 July 2014
+ added 4020 on 22 August 2014
+ added 60606 on 29 August 2014
+ added 23040 on 14 October 2014
+ added 4100 on 14 December 2014
+ added 86868 on 03 January 2015
+ added 2043 on 11 January 2015
+ added 7272 on 19 January 2015
+ added 320 on 11 February 2015
+ added 576 on 12 February 2015
+ added 3435 on 17 February 2015
+ added 4225 on 24 February 2015
+ added 7776 on 26 February 2015
+ added 1296 on 26 February 2015
+ added 19683 on 26 February 2015
+ added 59049 on 26 February 2015
+ added 21184 on 04 April 2015
+ added 420420 on 20 April 2015
+ added 201 on 30 April 2015
+ added 63936 on 01 May 2015
+ added 171 on 02 May 2015
+ added 204 on 02 May 2015
+ added 195 on 02 May 2015
+ added 198 on 02 May 2015
+ added 7200 on 03 May 2015
+ added 801 on 03 May 2015
+ added 1818 on 06 May 2015
+ added 10000 on 08 May 2015
+ added 4400 on 09 May 2015
+ added 4401 on 09 May 2015
+ added 4420 on 12 May 2015
+ added 51315 on 13 May 2015
+ added 90909 on 22 May 2015
+ added 91119 on 22 May 2015
+ added 27972 on 17 June 2015
+ added 888 on 20 June 2015
+ added 28382 on 07 July 2015
+ added 64746 on 09 July 2015
+ added 4500 on 10 July 2015
+ added 65556 on 12 July 2015
+ added 66366 on 13 July 2015
+ added 7500 on 14 August 2015
+ added 10100 on 21 August 2015
+ added 4600 on 21 August 2015
+ added 91719 on 03 September 2015
+ added 3628800 on 28 September 2015
+ added 240 on 11 October 2015
+ added 228 on 11 October 2015
+ added 288 on 16 October 2015
+ added 7700 on 19 October 2015
+ added 92529 on 20 October 2015
+ added 1101 on 01 November 2015
+ added 1100 on 01 November 2015
+ added 69496 on 11 November 2015
+ added 230 on 24 November 2015
+ added 93339 on 04 December 2015
+ added 229230 on 07 December 2015
+ added 69696 on 26 December 2015
+ added 4800 on 06 January 2016
+ added 21420 on 13 January 2016
+ added 3033 on 20 January 2016
+ added 2355 on 20 January 2016
+ added 94149 on 08 February 2016
+ added 55755 on 18 February 2016
+ added 407 on 09 March 2016
+ added 1836 on 17 March 2016
+ added 1920 on 20 March 2016
+ added 247 on 30 March 2016
+ added 252 on 07 April 2016
+ added 261 on 07 April 2016
+ added 266 on 07 April 2016
+ added 280 on 14 April 2016
+ added 285 on 14 April 2016
+ added 306 on 26 April 2016
+ added 308 on 27 April 2016
+ added 312 on 28 April 2016
+ added 315 on 28 April 2016
+ added 324 on 03 May 2016
+ added 330 on 04 May 2016
+ added 70707 on 22 May 2016
+ added 1898 on 06 June 2016
+ added 61216 on 16 June 2016
+ added 5100 on 16 June 2016
+ added 61416 on 16 June 2016
+ added 61916 on 19 June 2016
+ added 65256 on 22 June 2016
+ added 67176 on 22 June 2016
+ added 68386 on 22 June 2016
+ added 19791 on 06 July 2016
+ added 336 on 09 July 2016
+ added 342 on 09 July 2016
+ added 100000 on 10 August 2016
+ added 101010 on 18 August 2016
+ added 351 on 08 September 2016
+ added 481 on 21 September 2016
+ added 5310 on 17 December 2016
+ added 372 on 02 January 2017
+ added 378 on 02 January 2017
+ added 30503 on 16 January 2017
+ added 20000 on 25 January 2017
+ added 392 on 26 January 2017
+ added 396 on 02 February 2017
+ added 402 on 06 February 2017
+ added 405 on 19 February 2017
+ added 5400 on 26 February 2017
+ added 21000 on 02 March 2017
+ added 19000 on 02 March 2017
+ added 72927 on 04 March 2017
+ added 408 on 08 April 2017
+ added 410 on 10 April 2017
+ added 5962 on 19 April 2017
+ added 3472 on 20 April 2017
+ added 414 on 02 May 2017
+ added 423 on 07 May 2017
+ added 440 on 08 May 2017
+ added 73737 on 16 May 2017
+ added 74547 on 06 June 2017
+ added 75357 on 08 June 2017
+ added 5500 on 08 June 2017
+ added 76167 on 10 June 2017
+ added 80208 on 11 August 2017
+ added 80608 on 11 August 2017
+ added 80808 on 12 August 2017
+ added 81018 on 12 August 2017
+ added 81918 on 12 August 2017
+ added 4284 on 15 August 2017
+ added 8112 on 16 August 2017
+ added 82628 on 23 September 2017
+ added 82728 on 02 October 2017
+ added 32230 on 02 December 2017
+ added 448 on 31 December 2017
+ added 450 on 31 December 2017
+ added 460 on 05 January 2018
+ added 83538 on 10 January 2018
+ added 84048 on 13 January 2018
+ added 5700 on 14 January 2018
+ added 26000 on 17 January 2018
+ added 84348 on 03 March 2018
+ added 465 on 03 March 2018
+ added 468 on 04 March 2018
+ added 84448 on 31 March 2018
+ added 85158 on 20 May 2018
+ added 476 on 25 May 2018
+ added 480 on 25 May 2018
+ added 486 on 30 May 2018
+ added 504 on 14 June 2018
+ added 506 on 16 June 2018
+ added 510 on 19 June 2018
+ added 511 on 20 June 2018
+ added 513 on 21 June 2018
+ added 516 on 23 June 2018
+ added 518 on 24 June 2018
+ added 522 on 28 June 2018
+ added 88488 on 18 July 2018
+ added 531 on 14 August 2018

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 United States License.