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equidigital n.  and  Harshad n.

First numbers that belong to both sets:

1, 2, 3, 5, 7, 10, 21, 27, 81, 111, 112, 133, 135, 162, 192, 201, 224, 320, 375, 405, 448, 486, 511, 640, 1011, 1015, 1053, 1088, 1095, 1101, 1107, 1120, 1125, 1134, 1141, 1152, 1161, 1168, 1183, 1185, 1296, 1323, 1344, 1387, 1431, 1455, 1659, 1679, 1728, 1920, 1944, 2000, 2023, 2025, 2133, 2176, 2240, 2241, 2304, 2403, 2430, 2511, 2592, 2625, 2688, 2752, 2916, 2997, 3031, 3072, 3104, 3200, 3321, 3328, 3402, 3430, 3456, 3750, 3840, 3888, 3904, 3969, 4000, 4131, 4480, 4608, 4779, 5000, 5056, 5120, 5145, 5184, 5376, 5589, 5632, 5831, 5832, 5875, 6208, 6399, 6400, 6517, 6912, 7290, 7776, 7857, 8000, 8575, 8748, 8991, 9477, 9947, 9963, 10011, 10016, 10017, 10071, 10095, 10096, 10109, 10185, 10213, 10233, 10279, 10304, 10307, 10309, 10341, 10346, 10365, 10402, 10479, 10503, 10528, 10543, 10611, 10635, 10720, 10727, 10787, 10816, 10854, 10880, 10901, 10905, 10963, 10983, 11043, 11085, 11136, 11151, 11178, 11200, 11205, 11221, 11250, 11265, 11313, 11354, 11355, 11487, 11502, 11520, 11535, 11606, 11625, 11647, 11680, 11712, 11805, 11824, 11826, 11991, 12000, 12015, 12096, 12123, 12150, 12160, 12165, 12181, 12231, 12250, 12256, 12321, 12345, 12362, 12435, 12501, 12563, 12615, 12747, 12798, 12832, 12873, 12960, 13041, 13111, 13118, 13155, 13203, 13245, 13264, 13351, 13357, 13377, 13408, 13440, 13446, 13605, 13608, 13689, 13797, 13881, 13888, 14000, 14013, 14016, 14055, 14093, 14094, 14099, 14121, 14128, 14259, 14272, 14383, 14415, 14418, 14499, 14505, 14580, 14704, 14769, 14875, 14985, 15000, 15001, 15008, 15040, 15066, 15201, 15267, 15317, 15360, 15393, 15409, 15424, 15519, 15579, 15623, 15680, 15687, 15689, 15712, 15714, 15751, 15771, 15775, 15795, 15849, 15936, 15957, 16011, 16038, 16125, 16128, 16149, 16389, 16464, 16527, 16659, 17010, 17024, 17088, 17150, 17280, 17283, 17409, 17461.

Some larger examples :