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binomial coefficient  and  Harshad n.

First numbers that belong to both sets:

6, 10, 20, 21, 36, 45, 70, 84, 120, 126, 153, 171, 190, 210, 220, 252, 300, 330, 351, 364, 378, 465, 630, 666, 715, 780, 792, 820, 990, 1035, 1128, 1140, 1275, 1330, 1365, 1431, 1540, 1596, 1770, 2016, 2024, 2080, 2300, 2556, 2600, 2628, 2850, 2926, 3060, 3160, 3240, 3276, 3321, 3432, 3486, 3570, 3654, 4005, 4060, 4368, 4465, 4560, 4950, 5050, 5460, 5565, 5778, 5886, 7140, 7260, 7770, 8001, 8911, 9180, 10011, 10296, 10440, 10660, 11175, 11440, 11476, 11480, 11628, 12720, 12870, 13041, 13203, 13244, 14190, 14196, 14706, 15180, 15225, 15400, 15576, 16110, 16215, 16290, 16653, 17020, 17205, 17550, 17766, 17955, 18145, 18528, 19448, 19600, 20100, 20825, 21321, 21528, 21736, 21945, 22100, 22155, 23220, 23426, 23436, 24090, 24310, 24804, 24976, 25200, 26334, 27720, 28680, 29260, 29646, 30628, 31626, 31824, 32509, 32640, 33930, 35245, 36585, 37128, 37820, 38760, 39060, 39711, 40470, 40920, 41328, 41616, 41664, 43365, 43680, 43956, 45150, 45760, 46360, 48620, 51040, 51360, 51681, 52326, 52394, 52650, 53956, 54264, 54740, 56280, 56616, 57155, 59640, 61776, 63903, 64620, 64824, 65341, 65780, 66045, 67525, 67896, 69006, 70125, 70300, 70500, 72010, 73536, 73920, 74613, 76076, 76636, 78210, 79401, 79800, 80200, 80730, 81810, 85320, 88410, 88560, 89676, 90100, 91881, 93096, 93528, 95284, 97020, 98280, 100128, 100947, 101025, 102340, 103740, 105111, 105570, 105995, 106030, 106491, 107880, 111930, 113050, 113526, 114003, 115440, 116280, 117855, 121485, 121771, 122760, 123753, 125250, 125580, 127260, 129766, 131328, 134596, 137550, 139128, 141246, 142506, 145530, 146070, 147440, 149331, 150426, 151525, 156849, 157080, 161028, 161700, 163878, 164451, 165600, 169911, 170820, 176715, 180300, 182106, 185136, 187460, 192510, 195000, 198485, 200028, 201930, 202566, 203490, 204156, 204480, 205120, 209628, 210276, 211575, 215820, 218130, 220116, 220780, 222111, 224115, 225456, 226128, 227475, 227920, 228150, 230230.

Some larger examples :