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decagonal n.  and  Harshad n.

First numbers that belong to both sets:

1, 10, 27, 126, 370, 540, 1242, 1387, 1540, 1701, 2232, 3510, 4000, 5076, 5662, 5967, 6930, 7965, 9072, 10251, 10660, 11502, 14220, 15687, 17226, 20520, 24102, 25360, 26001, 27972, 29326, 30015, 32130, 32851, 38907, 41310, 45475, 46332, 48070, 48951, 51642, 57240, 63126, 66177, 69300, 72495, 75762, 82512, 93177, 96876, 98125, 101920, 103201, 104490, 112392, 120582, 121975, 123376, 129060, 143830, 146880, 153076, 156222, 161001, 170775, 175770, 185976, 191187, 200032, 207252, 218322, 223965, 235467, 241326, 253260, 259335, 277992, 290790, 317250, 321772, 326326, 330912, 337851, 351945, 359100, 373626, 378532, 403542, 411201, 418932, 426735, 434610, 439900, 442557, 450576, 466830, 469567, 475065, 491751, 500202, 517320, 543537, 552420, 570402, 579501, 582550, 588672, 607230, 626076, 635607, 638800, 645210, 648427, 664632, 684342, 694305, 704340, 714447, 724626, 745200, 776601, 787212, 797895, 808650, 841347, 852390, 874692, 904876, 920160, 943326, 955017, 966780, 990522, 1002501, 1014552, 1026675, 1047040, 1063476, 1080040, 1088370, 1096732, 1113552, 1130500, 1139022, 1164780, 1182112, 1203957, 1212751, 1217160, 1239325, 1243782, 1279726, 1284255, 1307020, 1320775, 1325376, 1339227, 1353150, 1367145, 1381212, 1409562, 1423845, 1438200, 1452627, 1467126, 1496340, 1555632, 1560625, 1585710, 1600857, 1631367, 1646730, 1677672, 1693251, 1724625, 1740420, 1772226, 1804320, 1820475, 1825876, 1836702, 1858450, 1869372, 1902330, 1935576, 1969110, 1974727, 1985985, 2002932, 2019951, 2037042, 2071440, 2106126, 2123577, 2141100, 2176362, 2200030, 2211912, 2235772, 2247750, 2283876, 2320290, 2338605, 2356992, 2400175, 2406376, 2412585, 2431260, 2443750, 2456272, 2494030, 2506680, 2525715, 2557600, 2583252, 2596126, 2621970, 2634940, 2641437, 2660976, 2700270, 2739852, 2766400, 2799765, 2819880, 2860326, 2887450, 2901060, 2921535, 2942082, 2983392, 3066876, 3080902, 3102001, 3109050, 3151512, 3172851, 3194262, 3237300, 3302397, 3324240, 3368142, 3404947, 3412332, 3434535, 3456810, 3501576, 3524067, 3591972, 3637602, 3660525, 3722005, 3776220, 3799575, 3823002, 3846501, 3870072, 3901612, 3917430, 3941217, 3965076, 3997000, 4013010, 4053175, 4061232, 4069297, 4085451, 4158540, 4207626, 4232277, 4257000, 4290076, 4306662, 4356612, 4432077, 4457376, 4508190, 4525192, 4533705, 4559292.

Some larger examples :