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Harshad n.  and  interprime n.

First numbers that belong to both sets:

4, 6, 9, 12, 18, 21, 30, 42, 45, 50, 60, 72, 81, 102, 108, 111, 120, 144, 150, 180, 192, 195, 198, 225, 228, 240, 266, 270, 288, 300, 312, 315, 324, 342, 351, 370, 399, 405, 414, 420, 432, 441, 465, 506, 522, 552, 600, 645, 660, 730, 736, 780, 792, 803, 810, 825, 828, 846, 870, 882, 915, 960, 1011, 1016, 1020, 1026, 1032, 1044, 1050, 1056, 1062, 1066, 1092, 1095, 1100, 1120, 1140, 1152, 1215, 1220, 1230, 1278, 1302, 1305, 1320, 1344, 1404, 1416, 1431, 1452, 1456, 1476, 1590, 1611, 1620, 1632, 1704, 1728, 1744, 1785, 1854, 1872, 1904, 1950, 1962, 1998, 2001, 2007, 2022, 2028, 2034, 2085, 2088, 2112, 2130, 2142, 2170, 2205, 2210, 2241, 2268, 2310, 2322, 2340, 2430, 2470, 2490, 2535, 2592, 2601, 2640, 2667, 2688, 2712, 2736, 2760, 2772, 2790, 2794, 2826, 2970, 3000, 3006, 3015, 3030, 3055, 3114, 3120, 3150, 3165, 3168, 3184, 3213, 3240, 3252, 3255, 3258, 3300, 3321, 3330, 3345, 3360, 3366, 3390, 3480, 3528, 3536, 3540, 3582, 3600, 3610, 3615, 3640, 3672, 3675, 3699, 3705, 3750, 3768, 3840, 3852, 3870, 3930, 4002, 4005, 4010, 4020, 4050, 4065, 4131, 4155, 4158, 4224, 4230, 4248, 4260, 4266, 4332, 4338, 4368, 4454, 4482, 4488, 4500, 4510, 4515, 4518, 4600, 4650, 4800, 4807, 4824, 4914, 4932, 4935, 4968, 5010, 5016, 5022, 5031, 5055, 5100, 5110, 5160, 5184, 5232, 5235, 5280, 5306, 5328, 5340, 5410, 5415, 5418, 5439, 5460, 5505, 5520, 5544, 5566, 5640, 5652, 5691, 5697, 5706, 5742, 5764, 5810, 5817, 5833, 5850, 5859, 5880, 5967, 6040, 6045, 6050, 6060, 6084, 6090, 6132, 6138, 6201, 6214, 6225, 6270, 6282, 6300, 6314, 6360, 6384, 6450, 6552, 6570, 6660, 6696, 6714, 6762, 6792, 6825.

Some larger examples :