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Harshad n.  and  tau n.

First numbers that belong to both sets:

1, 2, 8, 9, 12, 18, 24, 36, 40, 60, 72, 80, 84, 108, 132, 152, 156, 180, 204, 225, 228, 240, 252, 288, 360, 372, 396, 441, 444, 448, 450, 468, 480, 504, 516, 600, 612, 640, 684, 720, 732, 792, 804, 828, 864, 880, 882, 936, 972, 1016, 1040, 1044, 1056, 1116, 1152, 1164, 1200, 1212, 1224, 1236, 1260, 1304, 1308, 1332, 1344, 1360, 1368, 1440, 1476, 1520, 1521, 1524, 1548, 1620, 1632, 1656, 1680, 1692, 1800, 1812, 1908, 1920, 1944, 1980, 2000, 2004, 2016, 2025, 2088, 2124, 2160, 2172, 2176, 2178, 2196, 2208, 2232, 2240, 2316, 2340, 2412, 2532, 2556, 2601, 2628, 2640, 2664, 2688, 2700, 2772, 2844, 2952, 2976, 3012, 3032, 3042, 3060, 3096, 3120, 3168, 3204, 3240, 3252, 3276, 3324, 3360, 3384, 3420, 3456, 3492, 3528, 3600, 3636, 3708, 3744, 3760, 3816, 3852, 3924, 4032, 4044, 4050, 4068, 4080, 4140, 4224, 4240, 4248, 4284, 4320, 4392, 4404, 4480, 4500, 4512, 4560, 4572, 4716, 4824, 4860, 4880, 4932, 4992, 5000, 5004, 5040, 5052, 5112, 5148, 5202, 5220, 5256, 5280, 5292, 5364, 5436, 5472, 5520, 5580, 5652, 5760, 5856, 6000, 6012, 6048, 6228, 6240, 6408, 6444, 6516, 6624, 6640, 6660, 6720, 6732, 6804, 6912, 6936, 7040, 7092, 7120, 7164, 7212, 7272, 7296, 7308, 7380, 7392, 7416, 7440, 7500, 7524, 7584, 7704, 7740, 7760, 7776, 7812, 7920, 8028, 8064, 8080, 8100, 8136, 8160, 8172, 8244, 8320, 8352, 8400, 8460, 8512, 8604, 8664, 8712, 8736, 8880, 9012, 9036, 9108, 9120, 9144, 9252, 9324, 9360, 9408, 9432, 9504, 9520, 9522, 9540, 9600, 9856, 10000, 10008, 10080, 10116, 10160, 10188, 10232, 10236, 10272, 10304, 10308, 10320, 10332, 10524, 10548, 10620, 10656, 10692, 10728, 10764, 10800, 10836, 10872, 10880, 10960, 10980, 11028.

Some larger examples :