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Cunningham n.  and  Harshad n.

First numbers that belong to both sets:

3, 5, 7, 8, 9, 10, 24, 48, 50, 63, 80, 120, 126, 195, 224, 288, 342, 360, 399, 440, 511, 513, 624, 730, 840, 960, 999, 1088, 1090, 1224, 1330, 1332, 1368, 1520, 1680, 1729, 1848, 2024, 2115, 2196, 2208, 2210, 2400, 2600, 2808, 3024, 3250, 3480, 3720, 4224, 4488, 4760, 4912, 4914, 5040, 5328, 5831, 5833, 5928, 6240, 6399, 6858, 6860, 7055, 7920, 8001, 8280, 8463, 9408, 10200, 10815, 11024, 11448, 11880, 12168, 12320, 12768, 13224, 14160, 14640, 15130, 15624, 16128, 17160, 17575, 17577, 17955, 18224, 18495, 19320, 19601, 19682, 19684, 20448, 21024, 21610, 22200, 22800, 23103, 23410, 24024, 24390, 24648, 24650, 25920, 26568, 28560, 29240, 31330, 32040, 32760, 33488, 36099, 37248, 39600, 40400, 42024, 42848, 42876, 43680, 44520, 46224, 47088, 47523, 48840, 50652, 52440, 52899, 53823, 55224, 57120, 58563, 59535, 59537, 60024, 62000, 63000, 64008, 66048, 72360, 73440, 75624, 77285, 78960, 80088, 83520, 85185, 87024, 87615, 88803, 90600, 91205, 93024, 96101, 96720, 97335, 97968, 101760, 101762, 103040, 103824, 104328, 105624, 108240, 110223, 112224, 113568, 114920, 116280, 118335, 121800, 122499, 123200, 125001, 128163, 130320, 131768, 139128, 140624, 142128, 143640, 151320, 152880, 156024, 158403, 160800, 164835, 166374, 167280, 172224, 175560, 177240, 182328, 184899, 185760, 187488, 190970, 194480, 198024, 201600, 203400, 205210, 205380, 206115, 207026, 209763, 211599, 212520, 214368, 214370, 223728, 225624, 226577, 231360, 234255, 235224, 237168, 238329, 241080, 242063, 249000, 251000, 253008, 255024, 259080, 261120, 264195, 269360, 271440, 277728, 279840, 286224, 290520, 292680, 297024, 300303, 300762, 301400, 303600, 305808, 310248, 312480, 326040, 328328, 328510, 330624, 335240, 337560, 346920, 351648, 354024, 355215, 356408, 357912, 358800, 361200, 373320, 375768, 380688, 389016, 389375, 390624, 391875, 413448, 416024, 418608, 421200, 421876, 426408, 434280, 436920, 442224, 444888, 450240, 454275, 455624, 461040, 466488, 474720, 477480.

Some larger examples :