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arithmetic n.  and  Harshad n.

First numbers that belong to both sets:

1, 3, 5, 6, 7, 20, 21, 27, 30, 42, 45, 54, 60, 70, 102, 110, 111, 114, 126, 132, 133, 135, 140, 150, 153, 190, 195, 198, 201, 204, 207, 209, 210, 220, 222, 224, 230, 247, 261, 264, 266, 270, 280, 285, 308, 315, 322, 330, 342, 351, 375, 378, 399, 402, 407, 414, 420, 423, 432, 460, 465, 476, 480, 481, 486, 500, 504, 506, 510, 511, 513, 518, 531, 540, 550, 552, 555, 558, 594, 605, 612, 621, 629, 630, 644, 645, 660, 690, 702, 715, 735, 736, 770, 774, 777, 780, 782, 801, 803, 820, 825, 832, 840, 846, 864, 870, 874, 902, 910, 912, 915, 918, 935, 966, 990, 999, 1002, 1011, 1012, 1014, 1015, 1016, 1017, 1020, 1026, 1032, 1035, 1050, 1056, 1062, 1071, 1095, 1101, 1107, 1110, 1120, 1122, 1125, 1128, 1140, 1141, 1148, 1161, 1180, 1183, 1185, 1188, 1206, 1212, 1215, 1220, 1230, 1233, 1242, 1270, 1275, 1278, 1302, 1305, 1310, 1320, 1323, 1330, 1341, 1350, 1365, 1380, 1386, 1387, 1400, 1410, 1416, 1417, 1422, 1431, 1455, 1494, 1500, 1503, 1512, 1520, 1526, 1534, 1540, 1545, 1547, 1558, 1566, 1590, 1611, 1630, 1632, 1635, 1638, 1651, 1652, 1656, 1659, 1674, 1679, 1704, 1710, 1725, 1729, 1740, 1744, 1770, 1785, 1815, 1836, 1848, 1853, 1854, 1860, 1886, 1890, 1896, 1905, 1908, 1926, 1950, 1974, 1980, 1998, 2001, 2004, 2010, 2016, 2020, 2022, 2024, 2030, 2043, 2070, 2085, 2090, 2115, 2119, 2130, 2133, 2142, 2151, 2156, 2159, 2160, 2170, 2175, 2202, 2205, 2208, 2214, 2220, 2232, 2241, 2244, 2260, 2265, 2280, 2282, 2286, 2289, 2310, 2313, 2322, 2350, 2353, 2355, 2358, 2376, 2394, 2398, 2400, 2403, 2408, 2421, 2430, 2445, 2460, 2464, 2465.

Some larger examples :