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frugal n.  and  Harshad n.

First numbers that belong to both sets:

243, 512, 1215, 1458, 1701, 2401, 4374, 4802, 4913, 5103, 10000, 10125, 10206, 10368, 11392, 11421, 11664, 12032, 12544, 12879, 13122, 13824, 15552, 16767, 16875, 17152, 17496, 17739, 19197, 19375, 19683, 20000, 20736, 21141, 21870, 22599, 23328, 24010, 24064, 24576, 26244, 26973, 27783, 30618, 31104, 32000, 34992, 36015, 37179, 38637, 39366, 40000, 41472, 41875, 43011, 44469, 45927, 46656, 48843, 50000, 50301, 51759, 52488, 54675, 57591, 59049, 62208, 64000, 64827, 64881, 65610, 69984, 76545, 78732, 80000, 80919, 81920, 83349, 84375, 85293, 91854, 93312, 98304, 98415, 100000, 100602, 101120, 101250, 101331, 102303, 102789, 103335, 103518, 103552, 103680, 104704, 104875, 104960, 104976, 105861, 106434, 106496, 106677, 107649, 108864, 109312, 109350, 109375, 110080, 110464, 110592, 110625, 110889, 111051, 111104, 111250, 111909, 112000, 112023, 112995, 113875, 113920, 113967, 114688, 115182, 115248, 115943, 116224, 116397, 116603, 116640, 117369, 117855, 118098, 118375, 118784, 118827, 120000, 120320, 120832, 121014, 121203, 122472, 122567, 122875, 123201, 123687, 123823, 124416, 124659, 125000, 125440, 126846, 126875, 126976, 127089, 127575, 128547, 128768, 129654, 129762, 131220, 131875, 131949, 133125, 134379, 134865, 135594, 136809, 137781, 138267, 138753, 138915, 139239, 139968, 140000, 140211, 140697, 141135, 141426, 143883, 144039, 144099, 144342, 144896, 145152, 145557, 146189, 146529, 146944, 149445, 149931, 150000, 151389, 151875, 153090, 153819, 154112, 155277, 155520, 155763, 156249, 156735, 157464, 158171, 158193, 159651, 161838, 162304, 162567, 163296, 163539, 165199, 165483, 165625, 165888, 166341, 166941, 167913, 167936, 168507, 168750, 170586, 171475, 171520, 172287, 172773, 174717, 174848, 174960, 176661, 177147, 178119, 178605, 179334, 179456, 180075, 180549, 182183, 182250, 182493, 183708, 183951, 184923, 185193, 186624, 187353, 188082, 188125, 188811, 190269, 190976, 191727, 192000, 192080, 193185, 193671, 193750, 194481, 194643, 196830, 197073, 198025, 198911, 199017, 199503, 200000, 201472, 201684, 202240, 203125, 203877, 204849, 205578, 207279, 207360, 207765, 208737, 209709, 209952.

Some larger examples :