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pandigital  and  Zumkeller n.

First numbers that belong to both sets:

78, 108, 114, 120, 156, 180, 198, 210, 216, 228, 714, 894, 978, 990, 1014, 1110, 1190, 1398, 1470, 1758, 1830, 1914, 1986, 2022, 2070, 2154, 2170, 2226, 2382, 2430, 2538, 2586, 2766, 2778, 2790, 2886, 2910, 8415, 8600, 8620, 8780, 8840, 8980, 9020, 10570, 11050, 11190, 11200, 11220, 11370, 11430, 11560, 11580, 11610, 11840, 11860, 12270, 12280, 12300, 12560, 12630, 12720, 12760, 12820, 12840, 12900, 13100, 13160, 13530, 13590, 13640, 13710, 13790, 13800, 14060, 14130, 14160, 14350, 14380, 14420, 14800, 14820, 14850, 14920, 14980, 15000, 15050, 15060, 15140, 15210, 15240, 16695, 17050, 17670, 17680, 17700, 17850, 17910, 17955, 18040, 18060, 18090, 19830, 19840, 19860, 20370, 20490, 20560, 20580, 20670, 21090, 21150, 21450, 21570, 21870, 21930, 22275, 22360, 22380, 22410, 22720, 22740, 22830, 22950, 23010, 23650, 23720, 23740, 24260, 24380, 24460, 24560, 24800, 24820, 25230, 25240, 25260, 25520, 25590, 25680, 25720, 25780, 25800, 25850, 25860, 26110, 26310, 26320, 26340, 26850, 26970, 27040, 27060, 27150, 28580, 28700, 28760, 28830, 28910, 28920, 29010, 29130, 29600, 29640, 29670, 29860, 29890, 29960, 30040, 30100, 30120, 30170, 30180, 30250, 30280, 30300, 30390, 30680, 30720, 30750, 31460, 31520, 31820, 31940, 32240, 32300, 32540, 32600, 32970, 33030, 33080, 33150, 33240, 33495, 33500, 33570, 33600, 34050, 34110, 34410, 34530, 34830, 34890, 35060, 35180, 35240, 35310, 35400, 35490, 35610, 36080, 36120, 36150, 37640, 37700, 37820, 37890, 37920, 38070, 38130, 38240, 38280, 38310, 39220, 39260, 39375, 39580, 39680, 39800, 39860, 40300, 40340, 40635, 40720, 40740, 40770, 40840, 40850, 40920, 40980, 41055, 41060, 41130, 41160, 41800, 41820, 41850, 42160, 42180, 42270, 42390, 42450, 42820, 42920, 43000, 43010, 43060, 43080, 43140, 43240, 43260, 43350, 43640, 43680, 43710, 44120, 44180, 44370, 44400, 44550, 44610, 44720, 44760, 44790.