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amenable n.  and  pandigital

First numbers that belong to both sets:

21, 108, 120, 141, 156, 177, 180, 201, 216, 225, 228, 8345, 8385, 8525, 8585, 8600, 8620, 8745, 8765, 8780, 8840, 8980, 9020, 10505, 10545, 11045, 11165, 11200, 11220, 11265, 11345, 11560, 11580, 11765, 11825, 11840, 11860, 12125, 12245, 12280, 12300, 12545, 12560, 12605, 12720, 12760, 12820, 12840, 12900, 13065, 13085, 13100, 13160, 13425, 13505, 13625, 13640, 13685, 13800, 14060, 14160, 14380, 14420, 14800, 14820, 14920, 14980, 15000, 15060, 15140, 15240, 15905, 15945, 16265, 16405, 16485, 16605, 16765, 16785, 16985, 17025, 17525, 17645, 17680, 17700, 17745, 17825, 18040, 18060, 19505, 19645, 19685, 19805, 19840, 19860, 20345, 20485, 20545, 20560, 20580, 20665, 20805, 20925, 20985, 21065, 21425, 21565, 21825, 21925, 22165, 22185, 22360, 22380, 22705, 22720, 22740, 22825, 22905, 23005, 23645, 23705, 23720, 23740, 23825, 23965, 24245, 24260, 24380, 24385, 24460, 24505, 24560, 24565, 24725, 24785, 24800, 24820, 25085, 25205, 25240, 25260, 25505, 25520, 25565, 25680, 25720, 25780, 25800, 25860, 25985, 26125, 26165, 26285, 26320, 26340, 26825, 26965, 27025, 27040, 27060, 27145, 28565, 28580, 28700, 28705, 28745, 28760, 28805, 28920, 28985, 29125, 29600, 29605, 29640, 29665, 29860, 29905, 29960, 29965, 30040, 30100, 30120, 30180, 30265, 30280, 30300, 30385, 30680, 30685, 30720, 30745, 31425, 31445, 31460, 31520, 31605, 31725, 31805, 31820, 31940, 31945, 32240, 32265, 32300, 32305, 32505, 32525, 32540, 32600, 32865, 32945, 33065, 33080, 33125, 33240, 33500, 33600, 33765, 33885, 33945, 34025, 34385, 34525, 34785, 34885, 35045, 35060, 35180, 35185, 35225, 35240, 35285, 35400, 35465, 35605, 36080, 36085, 36120, 36145, 37640, 37665, 37700, 37705, 37820, 37920, 38025, 38125, 38240, 38245, 38280, 38305, 39220, 39260, 39445, 39465, 39580, 39625, 39680, 39685, 39800, 39825, 39860, 39865, 40300, 40340, 40720, 40740, 40840, 40900, 40920, 40980, 41060, 41160, 41605, 41625, 41800, 41820, 42145, 42160, 42180.

Some larger examples :