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evil n.  and  tetrahedral n.

First numbers that belong to both sets:

10, 20, 120, 165, 455, 680, 816, 969, 1771, 2600, 2925, 3276, 3654, 5984, 6545, 7140, 7770, 8436, 9139, 9880, 10660, 12341, 14190, 15180, 24804, 26235, 27720, 30856, 39711, 43680, 45760, 47905, 52394, 57155, 62196, 64824, 67525, 79079, 82160, 91881, 95284, 109736, 121485, 129766, 134044, 138415, 142880, 156849, 161700, 166650, 171700, 176851, 187460, 209934, 215820, 234136, 246905, 253460, 266916, 273819, 302621, 317750, 357760, 366145, 374660, 383306, 392084, 400995, 410040, 428536, 437989, 447580, 477191, 487344, 497640, 508080, 518665, 540274, 608685, 632710, 644956, 669920, 682640, 708561, 721764, 735130, 762355, 804440, 833340, 862924, 877975, 908600, 939929, 971970, 1125180, 1143135, 1216865, 1235780, 1274196, 1293699, 1313400, 1333300, 1353400, 1373701, 1414910, 1456935, 1478256, 1521520, 1610564, 1656360, 1679580, 1703016, 1750540, 1798940, 1898400, 1975354, 2001460, 2027795, 2054360, 2081156, 2162940, 2218636, 2246839, 2421090, 2511496, 2542124, 2604125, 2731135, 2796160, 2829056, 2862209, 2929290, 3031864, 3066580, 3136805, 3172316, 3244140, 3280455, 3317040, 3353896, 3391024, 3428425, 3466100, 3504050, 3542276, 3697960, 3777484, 3939936, 3981264, 4022880, 4192244, 4278680, 4366296, 4455100, 4499950, 4545100, 4590551, 4682360, 4728720, 4822356, 4869634, 4965115, 5013320, 5061836, 5159805, 5209260, 5359519, 5564321, 5668650, 5721300, 5827576, 5881204, 6044060, 6154284, 6378736, 6492980, 6550610, 6843880, 6903565, 7145775, 7207200, 7393585, 7583156, 7647059, 7711320, 7775940, 7840920, 8104460, 8305944, 8442105, 8510740, 8579746, 8649124, 8930376, 9001629, 9217660, 9290431, 9363584, 9585345, 9660036, 9886435, 9962680, 10039316, 10271580, 10349790, 10428396, 10746800, 11153835, 11236456, 11740764, 11912160, 11998480, 12085216, 12347930, 12436340, 12525171, 12614424, 13343760, 13436856, 13908836, 14004539, 14294280, 14391741, 14686780, 14786015, 14985824, 15086400, 15187425, 15288900, 15596035, 15907256, 16222590, 16328620, 16435111, 16865705, 16974516, 17083794, 17303755, 17414440, 17637224, 17861900, 17974950, 18547360, 19013940, 19131795, 19250136, 19728380, 20958500, 21084251, 21210504, 21592285, 21849334, 22500864, 22632705, 22765060, 22897930, 23031316, 23165219, 23434580, 23570040, 23706021, 23842524, 24393776, 24532904, 24672560, 24812745, 25236484, 25378795, 25665020, 25953389, 26389980, 26536591, 27128465, 27578100, 27729075, 27880600, 28185304, 28338485, 28646510, 29112720.

Some larger examples :