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Harshad n.  and  Jordan-Polya n.

First numbers that belong to both sets:

1, 2, 4, 6, 8, 12, 24, 36, 48, 72, 120, 144, 192, 216, 240, 288, 432, 480, 512, 576, 720, 864, 960, 1152, 1296, 1440, 1728, 1920, 2304, 2592, 2880, 3072, 3456, 3840, 4320, 4608, 5040, 5184, 5760, 6912, 7776, 8640, 9216, 10080, 10368, 11520, 13824, 14400, 15360, 15552, 17280, 18432, 20160, 20736, 23040, 24576, 25920, 27648, 28800, 30240, 30720, 31104, 34560, 40320, 41472, 46080, 46656, 51840, 55296, 57600, 60480, 61440, 62208, 69120, 80640, 82944, 86400, 92160, 93312, 98304, 103680, 110592, 115200, 120960, 124416, 138240, 155520, 161280, 165888, 172800, 181440, 184320, 186624, 207360, 221184, 230400, 241920, 245760, 248832, 276480, 279936, 311040, 322560, 331776, 345600, 362880, 373248, 393216, 414720, 442368, 460800, 483840, 497664, 518400, 552960, 559872, 589824, 604800, 622080, 645120, 663552, 691200, 725760, 746496, 829440, 884736, 921600, 933120, 967680, 983040, 995328, 1036800, 1088640, 1105920, 1119744, 1179648, 1209600, 1244160, 1290240, 1327104, 1382400, 1451520, 1492992, 1658880, 1679616, 1728000, 1769472, 1843200, 1866240, 1935360, 1966080, 1990656, 2073600, 2177280, 2211840, 2239488, 2359296, 2419200, 2488320, 2654208, 2764800, 2903040, 3110400, 3317760, 3359232, 3456000, 3538944, 3628800, 3732480, 3870720, 3932160, 3981312, 4147200, 4354560, 4423680, 4718592, 4838400, 4976640, 5308416, 5529600, 5598720, 5806080, 5898240, 6220800, 6531840, 6635520, 6718464, 6912000, 7257600, 7464960, 7741440, 7864320, 7962624, 8294400, 8709120, 8847360, 9437184, 9676800, 9953280, 10077696, 10321920, 10368000, 10616832, 11059200, 11197440, 11612160, 11796480, 11943936, 12441600, 13063680, 13271040, 13436928, 13824000, 14155776, 14515200, 14929920, 15482880, 15925248, 16588800, 17418240, 17694720, 17915904, 18662400, 19353600, 19906560, 20155392, 20736000, 21233664, 21772800, 22118400, 22394880, 23224320, 23592960, 24883200, 25401600, 26127360, 26542080, 27648000, 28311552, 29030400, 29859840, 30965760, 31457280, 31850496, 33177600, 33592320, 34836480, 35389440, 35831808, 37324800, 38707200, 39191040, 39813120, 39916800, 40310784, 41287680, 41472000, 42467328, 43545600, 44236800, 44789760, 46448640, 47185920, 49766400, 50803200, 52254720, 53084160, 53747712, 55296000, 56623104, 58060800, 58982400, 59719680, 60466176, 61931520, 62208000, 63700992, 66355200, 67184640, 69672960.

Some larger examples :