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centered pentagonal n.  and  Harshad n.

First numbers that belong to both sets:

1, 6, 2176, 2976, 9456, 16606, 29431, 42576, 105576, 128256, 136306, 160656, 189751, 195301, 199516, 227256, 252016, 305376, 343176, 395016, 409051, 478516, 544056, 618766, 733056, 788206, 791016, 828001, 848266, 1057876, 1084056, 1345056, 1423176, 1570141, 1578076, 1720176, 1736806, 1925016, 2018256, 2104516, 2141376, 2320831, 2477551, 2717016, 3077476, 3110851, 3150016, 3240456, 3567076, 3928156, 4060876, 4607016, 4840681, 4945606, 4994956, 5202016, 5450131, 5741851, 6002376, 6380016, 6412006, 6630031, 6835156, 7408906, 8050576, 8077516, 8158606, 8395141, 8441016, 9501376, 10185856, 10511376, 10748506, 10790016, 11009256, 11810256, 12493651, 12572016, 13427016, 13835641, 14286226, 14622856, 15320251, 15407016, 15456706, 16352016, 17311981, 18530016, 18899376, 19411456, 19509106, 20242176, 20542056, 20700016, 21177526, 21631056, 21941016, 22733101, 22823656, 23066016, 23493226, 23862526, 25193626, 25432276, 25640016, 26041891, 26284516, 27200256, 27964201, 28081381, 28789606, 29989581, 30932016, 31302456, 31639516, 32824381, 32951326, 33169516, 33902016, 34252756, 34419526, 35109391, 35825026, 37142926, 37976266, 38210476, 40050016, 40531756, 41341056, 42055756, 43316016, 43461826, 43712356, 45060676, 45251926, 46343326, 46515706, 47993856, 48367006, 49740151, 51200376, 52658776, 55542706, 55825876, 56157151, 56323156, 59134081, 59207056, 59694706, 60061756, 60651376, 60873226, 61442016, 63139126, 64859356, 65600016, 66113266, 67873276, 68866881, 70902376, 72724606, 74515351, 74569956, 75034906, 79031266, 81239251, 81638776, 85717201, 88878516, 90165076, 92461606, 94080226, 97515676, 102832456, 107600401, 112308766, 113350056, 113889376, 114294706, 116161681, 117186406, 117460426, 118250016, 120704131, 125865301, 127217056, 128217706, 130664176, 131424376, 133425826, 135332016, 135921256, 136253266, 138774876, 139073056, 141470016, 141733426, 144305016, 146440156, 150641016, 151068256, 152431681, 153722806, 156717016, 157073506, 157311391, 159420526, 162832426, 163115016, 163519141, 163802326, 165100006, 166239676, 170135626, 174786706, 178992456, 180221476, 190205016, 191428126, 192260326, 193930141, 196492726, 199339926, 200816016, 202387516, 202522501, 204191016, 205141056, 205458226, 209329126, 210291031, 211715016, 212083276, 212451856, 215180016, 217505641, 218579626, 222902016, 225126526, 230856226, 232540951, 234909856, 236998581, 238022016, 238217206, 238266016, 239487891, 241154656, 241400256, 242777926, 246140016, 250875766, 252380641, 254696856, 260227516, 262016016, 265559856, 265972276, 269646526, 270530016, 272144806, 272614516, 276754906, 280820506, 283795926, 285289516, 287430016, 293411806, 294767556, 295800016, 297542976, 300167016, 301263766, 302582506, 304676401, 305007676, 305504926, 309720076, 311168731, 311559331.

Some larger examples :