Search a number
decagonal n.  and  balanced n.

First numbers that belong to both sets:

10, 52, 232, 742, 976, 2835, 4000, 7267, 8695, 9457, 11077, 12825, 13747, 16192, 17755, 22275, 32130, 35062, 38122, 41310, 42127, 42952, 44626, 45475, 55342, 59170, 65152, 124785, 143830, 156222, 159400, 196470, 198247, 209077, 216457, 218322, 220195, 222076, 225862, 233530, 239365, 261376, 303876, 330912, 344862, 388440, 398476, 426735, 477826, 531805, 540592, 546490, 552420, 561375, 576460, 582550, 601012, 626076, 632422, 645210, 667897, 671170, 684342, 731452, 762565, 797895, 808650, 830376, 841347, 870955, 893497, 958930, 962851, 966780, 1047040, 2152822, 2182267, 2200030, 2217865, 2235772, 2241757, 2320290, 2332492, 2344726, 2443750, 2450007, 2456272, 2475115, 2513017, 2532076, 2570410, 2680587, 2713432, 2726626, 2739852, 2799765, 2846812, 2860326, 2894251, 2962701, 3011092, 3018037, 3024990, 3045897, 3052882, 3059875, 3094960, 3179980, 3201415, 3230107, 3237300, 3266152, 3280626, 3295132, 3353476, 3419725, 3427126, 3501576, 3509065, 3561712, 3614751, 3622360, 3675847, 3722005, 3815185, 3830827, 3901612, 4005001, 4093540, 4101637, 4191232, 4688307, 4766580, 4792815, 5086152, 5095177, 5167665, 5240665, 5295751, 5369647, 5746807, 5862451, 5901255, 5920705, 5998825, 6156601, 6186412, 6196365, 6498675, 6539527, 6621615, 6756100, 6766501, 6839532, 7156962, 7318377, 7602427, 7657672, 8049987, 8095447, 8163877, 8301601, 8370895, 8417251, 8510347, 8568792, 8580505, 8627437, 8639190, 8674497, 8698075, 8709876, 8721685, 8757160, 8780850, 8816445, 8828326, 8935615, 8947576, 8959545, 9043552, 9115870, 9140040, 9176355, 9188476, 9224887, 9249201, 9273547, 9334552, 9359010, 9383500, 9408022, 9469467, 9494101, 9506430, 9531112, 9543465, 9655002, 9667435, 9692325, 9729720, 9867451, 9955602, 9980860, 10133080, 10184076, 10196845, 10248001, 10453905, 10479787, 10544632, 10622710, 10635751, 10674922, 10819165, 10898251, 10964376, 10990882, 11110555, 11190697, 11271127, 11311450, 11378815, 11446380, 11473462, 11500576, 11514145, 11541307, 11636626, 11650275, 11759755, 11842201, 12160912, 12216772, 12272760, 12286777, 12314835, 12399201, 12483855, 12497992, 12568797, 12625585, 12639802, 12682501, 12739545, 12825351, 13171455, 13185976, 13244140, 13287847, 13302432, 13317025, 13404751, 13434057, 13507462, 13536880, 13566330, 13684450, 13758535, 13803082, 13847701, 13907305, 13952092, 13981990, 13996951, 14177107, 14328117, 14373576, 14388745, 14617240, 14693805, 14724487, 14816725, 14893810, 15017562, 15079630, 15141826, 15157395, 15219751, 15282235.

Some larger examples :