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Harshad n.  and  vampire n.

First numbers that belong to both sets:

1260, 1530, 102510, 104260, 105210, 105264, 105750, 118440, 120600, 123354, 125460, 126846, 135837, 145314, 150300, 152685, 156240, 163944, 173250, 182250, 186624, 190260, 192150, 201852, 211896, 213466, 218488, 229648, 286416, 315900, 319059, 329346, 336960, 346968, 368550, 378400, 384912, 416988, 456840, 457600, 538650, 559188, 567648, 673920, 738468, 794088, 809964, 10025010, 10052010, 10052064, 10081260, 10124352, 10124757, 10129900, 10134985, 10205100, 10205370, 10229845, 10233054, 10250460, 10269504, 10294200, 10402600, 10417167, 10423530, 10434226, 10467792, 10502100, 10507500, 10511694, 10522350, 10526400, 10558368, 10572300, 10604277, 10696824, 10716300, 10723185, 10731609, 10742868, 10772190, 10801350, 10821600, 10835370, 10886400, 10935436, 11074657, 11259000, 11344860, 11364138, 11368026, 11426800, 11453481, 11522250, 11525490, 11529216, 11557323, 11559960, 11567205, 11572596, 11576268, 11602926, 11608272, 11632896, 11647800, 11648952, 11682468, 11772540, 11803482, 11874550, 11887524, 11908215, 11926728, 11948310, 11952360, 11982348, 12006000, 12023550, 12054060, 12056850, 12081960, 12095568, 12097350, 12159720, 12166942, 12181500, 12199752, 12210588, 12213585, 12238776, 12289644, 12308436, 12363840, 12384000, 12406770, 12417588, 12453012, 12454200, 12483576, 12488760, 12492864, 12509640, 12531834, 12550050, 12552813, 12586392, 12595000, 12600324, 12640860, 12652024, 12684924, 12697740, 12717396, 12752640, 12762000, 12843000, 12853840, 12893760, 12943548, 12951400, 12966480, 13002462, 13024557, 13025650, 13041180, 13078260, 13140292, 13208670, 13225518, 13230945, 13241250, 13261500, 13268772, 13345074, 13394160, 13410270, 13489960, 13524570, 13545000, 13572648, 13573980, 13579240, 13648824, 13794480, 13881780, 13967820, 13978575, 13998735, 14053014, 14088672, 14134450, 14134500, 14245632, 14256081, 14260279, 14279832, 14305086, 14346072, 14529528, 14553270, 14558940, 14573916, 14588280, 14622525, 14642208, 14652000, 14652900, 14653728, 14676228, 14679432, 14713650, 14736780, 14799555, 14858712, 14897520, 14936400, 15003000, 15028335, 15102670, 15203650, 15204672, 15227100, 15243390, 15246000, 15249780, 15261696, 15281856, 15300540, 15304302, 15364728, 15379875, 15384330, 15423430, 15435000, 15436296, 15464722, 15487380, 15527700, 15602400, 15622713, 15684840, 15711696, 15716916, 15741396, 15742350, 15786495, 15795000, 15819300, 15833844, 15863040, 15878200, 15881580, 15904350, 15930432, 16039944, 16093728, 16265088, 16272000, 16293960, 16398144, 16620390, 16648920, 16679520, 16732728, 16737520, 16757280, 16776720, 16794855, 16805628, 16820320, 16879500, 16918308, 16987500, 17026240, 17136490, 17236980, 17265276, 17278960, 17341290, 17429580.

Some larger examples :