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Harshad n.  and  nonagonal n.

First numbers that belong to both sets:

1, 9, 24, 111, 204, 261, 396, 1350, 2484, 3075, 3504, 4200, 4446, 5500, 6069, 7614, 7944, 10071, 10450, 10836, 12036, 13734, 18981, 19500, 20559, 22200, 23904, 28756, 32016, 34056, 38325, 40554, 43624, 46000, 50100, 57024, 63450, 68250, 72216, 75264, 83700, 91449, 94875, 100725, 101916, 111696, 112950, 115479, 127206, 128544, 132600, 139500, 143724, 161250, 162756, 175056, 178201, 179784, 194346, 201000, 206064, 212914, 221634, 241434, 254475, 264000, 277629, 289584, 293625, 301791, 312156, 314250, 331254, 346500, 350919, 364344, 366606, 378021, 403750, 413316, 430326, 440200, 452700, 455221, 473064, 480816, 493876, 504450, 523224, 545100, 553419, 573075, 616350, 637084, 652104, 661200, 685764, 713934, 720271, 723450, 736236, 762144, 801846, 805200, 815304, 825471, 828874, 873750, 916224, 927000, 985536, 1000450, 1019250, 1061226, 1084479, 1096200, 1123794, 1159776, 1171896, 1204524, 1212751, 1271124, 1305096, 1317951, 1322250, 1326556, 1348191, 1361256, 1432000, 1436481, 1468044, 1504536, 1560114, 1593000, 1607199, 1723059, 1727974, 1732896, 1812600, 1837875, 1858221, 1868436, 1961631, 1993200, 2019700, 2035684, 2062464, 2073225, 2100250, 2105676, 2143854, 2149336, 2210100, 2238000, 2254824, 2294325, 2409075, 2479269, 2574429, 2586450, 2610576, 2683626, 2776356, 2813889, 2902446, 2960100, 2979444, 2992375, 3005334, 3031336, 3063996, 3077109, 3116616, 3176349, 3223200, 3304314, 3407124, 3414034, 3441744, 3490506, 3631716, 3681801, 3739461, 3753946, 3870834, 3900336, 4042000, 4079700, 4140384, 4193850, 4224556, 4232250, 4286304, 4387600, 4442634, 4490079, 4498011, 4513896, 4545750, 4633926, 4641984, 4658121, 4666200, 4682379, 4714821, 4763694, 4812819, 4829250, 4862196, 5037000, 5104404, 5163750, 5309304, 5335200, 5465625, 5474376, 5535829, 5615344, 5633091, 5677581, 5686500, 5731200, 5767086, 5803084, 5875416, 5975604, 6058206, 6122844, 6197136, 6309414, 6365931, 6394284, 6403749, 6517875, 6546564, 6575316, 6633009, 6652296, 6768606, 6856500, 7004250, 7093656, 7153575, 7254000, 7334844, 7365276, 7375434, 7405950, 7416136, 7528644, 7611000, 7683429, 7724971, 7829316, 7871250, 7955454, 8082600, 8178621, 8210754, 8242950, 8339916, 8372364, 8415726, 8733450, 8811024, 8855506, 8900100, 8922439, 8944806, 9102159, 9170016, 9181350, 9272274, 9409500, 9490014, 9524625, 9594036, 9628836, 9698625, 9721944.

Some larger examples :