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Harshad n.  and  Ruth-Aaron pair

First numbers that belong to both sets:

5, 6, 8, 9, 24, 50, 126, 153, 370, 715, 1330, 1520, 1521, 2300, 2600, 2601, 4192, 5960, 6556, 8280, 8463, 8856, 12726, 13776, 21184, 24024, 25839, 25840, 26649, 28809, 37828, 37881, 40082, 42624, 43215, 43216, 43680, 47544, 48204, 48762, 53193, 61760, 61761, 63666, 75140, 79118, 98120, 106800, 106893, 109940, 110608, 112080, 132209, 132210, 143622, 155709, 172773, 174096, 180360, 189081, 228600, 230124, 244036, 247455, 263327, 263328, 263628, 268191, 304326, 351076, 373704, 404973, 407835, 445305, 457900, 467302, 470120, 508564, 554683, 560150, 587264, 624080, 732088, 732200, 742508, 773604, 839376, 844865, 869055, 927775, 944109, 956040, 977895, 999072, 1040402, 1100280, 1100281, 1104264, 1172947, 1191132, 1236600, 1243500, 1261008, 1267920, 1293140, 1306248, 1329129, 1333026, 1361070, 1376109, 1496550, 1516788, 1524258, 1575261, 1670488, 1801162, 1806368, 1858644, 1958320, 2003632, 2020800, 2024867, 2065122, 2120989, 2138928, 2195568, 2387376, 2392065, 2407320, 2437224, 2437225, 2519343, 2527020, 2559672, 2579308, 2602449, 2660634, 2854740, 2991417, 2992221, 3002296, 3056976, 3056977, 3094038, 3155780, 3198042, 3206343, 3240384, 3369764, 3414888, 3429081, 3568957, 3584196, 3602832, 3668588, 3702112, 3743350, 3772332, 3790956, 3897530, 3950120, 3973464, 3975060, 4076327, 4142745, 4190238, 4339368, 4379616, 4416039, 4723780, 4789551, 4806399, 4934098, 4970224, 5003775, 5025664, 5096735, 5096736, 5106640, 5140317, 5195088, 5213349, 5224176, 5242032, 5252580, 5267844, 5330451, 5346229, 5384400, 5432719, 5517315, 5517316, 5535405, 5686308, 5796504, 5928252, 5932509, 5932872, 5970624, 5974320, 6007581, 6028539, 6051461, 6161832, 6242130, 6245800, 6283167, 6399990, 6440240, 6476148, 6496328, 6521030, 6556680, 6649050, 6701805, 6803928, 7053453, 7084296, 7120224, 7185384, 7267029, 7271120, 7275816, 7304432, 7331650, 7331850, 7376940, 7418412, 7483200, 7681680, 7681681, 7706048, 7903792, 7994560, 8062119, 8115471, 8167752, 8190576, 8260488, 8263215, 8335587, 8471040, 8481984, 8496015, 8596070, 8630496, 8746896, 8753811, 9018427, 9251928, 9366030, 9579792, 9697639, 9734406, 10020600, 10133250, 10278268, 10321504, 10527570, 10609407, 10810624, 10812825, 11032295, 11032296, 11261040, 11322923, 11391138, 11480288, 11612930, 11690730, 11802483, 11864192, 11864193, 11930048, 12013617, 12120201, 12245280, 12282920, 12282921, 12563424.

Some larger examples :