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Harshad n.  and  pernicious n.

First numbers that belong to both sets:

3, 5, 6, 7, 9, 10, 12, 18, 20, 21, 24, 36, 40, 42, 48, 50, 70, 72, 80, 81, 84, 100, 110, 112, 117, 132, 133, 140, 144, 152, 162, 171, 192, 200, 220, 224, 230, 234, 247, 261, 264, 266, 280, 285, 288, 320, 322, 324, 333, 336, 342, 351, 364, 370, 372, 375, 392, 400, 405, 410, 440, 448, 460, 465, 468, 481, 506, 513, 516, 518, 522, 552, 555, 558, 576, 592, 640, 644, 648, 666, 684, 690, 702, 704, 738, 770, 782, 800, 803, 810, 820, 832, 880, 902, 935, 936, 954, 1002, 1010, 1012, 1016, 1026, 1032, 1040, 1044, 1053, 1056, 1088, 1090, 1092, 1095, 1101, 1104, 1107, 1110, 1116, 1120, 1125, 1130, 1140, 1143, 1152, 1160, 1168, 1180, 1183, 1204, 1233, 1236, 1270, 1274, 1296, 1302, 1305, 1308, 1330, 1332, 1341, 1344, 1350, 1368, 1380, 1387, 1404, 1413, 1417, 1431, 1456, 1476, 1494, 1500, 1521, 1524, 1540, 1547, 1558, 1620, 1630, 1651, 1674, 1679, 1704, 1710, 1729, 1744, 1770, 1810, 1812, 1815, 1860, 1872, 1898, 1900, 1905, 1908, 1962, 2001, 2004, 2020, 2024, 2052, 2064, 2080, 2088, 2106, 2112, 2119, 2120, 2133, 2156, 2159, 2176, 2178, 2202, 2208, 2214, 2220, 2223, 2232, 2240, 2250, 2260, 2280, 2286, 2300, 2304, 2312, 2353, 2398, 2401, 2408, 2421, 2465, 2466, 2478, 2490, 2534, 2538, 2574, 2592, 2601, 2604, 2610, 2660, 2664, 2667, 2670, 2682, 2688, 2700, 2712, 2715, 2718, 2736, 2754, 2760, 2771, 2790, 2793, 2794, 2808, 2821, 2826, 2850, 2856, 2862, 2912, 2924, 2952, 2970, 2976, 2982, 3000, 3020, 3032, 3042, 3072, 3080, 3097, 3100, 3104, 3110, 3114, 3141, 3160, 3165, 3172, 3184, 3200, 3210, 3220, 3240, 3258, 3268, 3290, 3320, 3328, 3340, 3345, 3348.

Some larger examples :