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evil n.  and  Jordan-Polya n.

First numbers that belong to both sets:

6, 12, 24, 36, 48, 72, 96, 120, 144, 192, 216, 240, 288, 384, 432, 480, 576, 720, 768, 864, 960, 1152, 1440, 1536, 1728, 1920, 2304, 2880, 3072, 3456, 3840, 4320, 4608, 5040, 5760, 6144, 6912, 7680, 7776, 8640, 9216, 10080, 11520, 12288, 13824, 14400, 15360, 15552, 17280, 18432, 20160, 23040, 24576, 27648, 28800, 30240, 30720, 31104, 34560, 36864, 40320, 46080, 46656, 49152, 55296, 57600, 60480, 61440, 62208, 69120, 73728, 80640, 92160, 93312, 98304, 110592, 115200, 120960, 122880, 124416, 138240, 147456, 155520, 161280, 181440, 184320, 186624, 196608, 221184, 230400, 241920, 245760, 248832, 276480, 294912, 311040, 322560, 362880, 368640, 373248, 393216, 442368, 460800, 483840, 491520, 497664, 518400, 552960, 589824, 622080, 645120, 725760, 737280, 746496, 786432, 884736, 921600, 933120, 967680, 983040, 995328, 1036800, 1088640, 1105920, 1179648, 1244160, 1290240, 1451520, 1474560, 1492992, 1572864, 1679616, 1728000, 1769472, 1843200, 1866240, 1935360, 1966080, 1990656, 2073600, 2177280, 2211840, 2359296, 2488320, 2580480, 2903040, 2949120, 2985984, 3110400, 3145728, 3359232, 3456000, 3538944, 3686400, 3732480, 3870720, 3932160, 3981312, 4147200, 4354560, 4423680, 4718592, 4976640, 5160960, 5806080, 5898240, 5971968, 6220800, 6291456, 6718464, 6912000, 7077888, 7372800, 7464960, 7741440, 7864320, 7962624, 8294400, 8709120, 8847360, 9437184, 9953280, 10077696, 10321920, 10368000, 11612160, 11796480, 11943936, 12441600, 12582912, 13436928, 13824000, 14155776, 14745600, 14929920, 15482880, 15728640, 15925248, 16588800, 17418240, 17694720, 18874368, 19906560, 20155392, 20643840, 20736000, 21772800, 23224320, 23592960, 23887872, 24883200, 25165824, 25401600, 26873856, 27648000, 28311552, 29491200, 29859840, 30965760, 31457280, 31850496, 33177600, 33592320, 34836480, 35389440, 37748736, 39191040, 39813120, 40310784, 41287680, 41472000, 43545600, 46448640, 47185920, 47775744, 49766400, 50331648, 50803200, 53747712, 55296000, 56623104, 58982400, 59719680, 61931520, 62208000, 62914560, 63700992, 66355200, 67184640, 69672960, 70778880, 75497472, 78382080, 79626240, 80621568, 82575360, 82944000, 87091200, 92897280, 94371840, 95551488, 99532800, 100663296, 101606400, 107495424, 110592000, 113246208, 117964800, 119439360, 123863040, 124416000, 125829120, 127401984, 132710400, 134369280, 139345920, 141557760, 150994944, 156764160, 159252480.

Some larger examples :