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d-powerful n.  and  Harshad n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 24, 63, 132, 135, 153, 209, 224, 264, 333, 370, 372, 375, 378, 407, 518, 629, 935, 1323, 1386, 1836, 2064, 2130, 2133, 2136, 2205, 2223, 2240, 2241, 2244, 2352, 2353, 2355, 2376, 2394, 2445, 2464, 2465, 2532, 2574, 2628, 2664, 2793, 2794, 2934, 3165, 3252, 3255, 3294, 3324, 3345, 3432, 3435, 3474, 3492, 3523, 3525, 3612, 3726, 3749, 3942, 4150, 4152, 4155, 4158, 4194, 4224, 4225, 4240, 4245, 4248, 4260, 4266, 4332, 4424, 4572, 4624, 4644, 4932, 4950, 5232, 5320, 5325, 5328, 5344, 5364, 5432, 5562, 5632, 5832, 5833, 6443, 6669, 6714, 6732, 6792, 6939, 7032, 7296, 7329, 7632, 7944, 8200, 8203, 8204, 8205, 8208, 8224, 8262, 8289, 8316, 8352, 8376, 8536, 8667, 8712, 8932, 9234, 9324, 9342, 9693, 9723, 9947, 9963, 12298, 12324, 12345, 12415, 12432, 12495, 12615, 13332, 14346, 15822, 16432, 16434, 16435, 16470, 16524, 17157, 17244, 17248, 17334, 17352, 17376, 17424, 17448, 17840, 17842, 17847, 18436, 18522, 20064, 20352, 20355, 20532, 20539, 20752, 21258, 21345, 21348, 21564, 21743, 22243, 22249, 22332, 22335, 22338, 22355, 22374, 22536, 22624, 22848, 22932, 22950, 22953, 22958, 23056, 23076, 23232, 23235, 23274, 23275, 23292, 23324, 23325, 23364, 23436, 23454, 23472, 23496, 23562, 23568, 23583, 23584, 23617, 23634, 23652, 23679, 23835, 23856, 23875, 23928, 23949, 24264, 24332, 24336, 24352, 24372, 24376, 24426, 24489, 24576, 24591, 24596, 24597, 24624, 24643, 24680, 24750, 24759, 24792, 24803, 24840, 24843, 24863, 24864, 24936, 24976, 25214, 25236, 25254, 25272, 25327, 25366, 25434, 25473, 25677, 25872, 26224, 26244, 26333, 26352, 26379, 26448, 26736, 27234, 27237, 27324, 27346, 27347, 27360, 27363, 28245, 28260, 28269, 28332, 28336, 28375, 28536, 28593, 28732, 28739, 29232, 29253, 29349, 29744, 29835, 30340, 30345, 30348, 32052.

Some larger examples :