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congruent n.  and  Harshad n.

First numbers that belong to both sets:

5, 6, 7, 20, 21, 24, 30, 45, 54, 60, 63, 70, 80, 84, 102, 110, 111, 112, 117, 120, 126, 133, 135, 150, 152, 156, 180, 190, 198, 207, 210, 216, 220, 222, 224, 230, 240, 247, 252, 261, 270, 280, 285, 306, 308, 312, 320, 330, 333, 336, 342, 351, 372, 375, 399, 405, 407, 408, 410, 414, 423, 440, 444, 448, 465, 468, 476, 480, 486, 500, 504, 510, 511, 518, 540, 550, 552, 558, 592, 600, 605, 621, 624, 629, 630, 644, 645, 660, 700, 702, 711, 720, 732, 735, 736, 756, 774, 777, 782, 792, 820, 828, 832, 840, 846, 864, 870, 880, 888, 902, 910, 915, 918, 935, 960, 966, 990, 999, 1008, 1012, 1014, 1015, 1016, 1020, 1040, 1044, 1053, 1062, 1071, 1080, 1095, 1101, 1104, 1110, 1116, 1120, 1122, 1125, 1134, 1140, 1141, 1143, 1148, 1164, 1180, 1183, 1185, 1204, 1206, 1212, 1215, 1224, 1230, 1232, 1233, 1236, 1242, 1270, 1272, 1278, 1300, 1302, 1304, 1305, 1308, 1310, 1320, 1330, 1332, 1341, 1344, 1350, 1360, 1365, 1368, 1386, 1387, 1400, 1404, 1413, 1422, 1431, 1455, 1476, 1494, 1500, 1503, 1520, 1524, 1526, 1534, 1558, 1560, 1566, 1590, 1596, 1620, 1630, 1632, 1635, 1638, 1651, 1652, 1656, 1659, 1679, 1692, 1701, 1704, 1710, 1720, 1725, 1744, 1746, 1770, 1782, 1785, 1812, 1815, 1848, 1853, 1854, 1860, 1872, 1886, 1890, 1904, 1908, 1920, 1926, 1944, 1950, 1974, 1980, 1998, 2000, 2004, 2007, 2016, 2020, 2022, 2023, 2030, 2034, 2040, 2061, 2070, 2085, 2100, 2119, 2130, 2133, 2136, 2142, 2151, 2159, 2160, 2170, 2172, 2175, 2176, 2196, 2200, 2205, 2208, 2214, 2223, 2232, 2236, 2244, 2260, 2268, 2282, 2286, 2300, 2310, 2313, 2340, 2350, 2358.

Some larger examples :