Search a number
d-powerful n.  and  gapful n.

First numbers that belong to both sets:

132, 135, 264, 374, 1349, 2064, 2225, 2240, 2332, 2626, 2664, 3255, 3944, 4224, 4240, 4242, 5858, 7296, 7632, 8245, 12345, 12432, 12495, 12615, 13332, 14295, 16430, 16470, 17240, 17352, 17357, 17376, 17445, 17840, 19773, 20064, 20263, 20372, 22025, 22333, 22375, 22825, 22848, 23036, 23232, 23253, 23275, 23325, 23452, 23548, 23562, 23875, 23892, 23925, 23943, 24264, 24332, 24336, 24375, 24591, 24596, 24597, 24620, 24624, 24625, 24680, 24840, 24863, 24864, 25275, 25322, 25323, 25431, 25432, 25677, 25872, 26240, 26243, 27326, 27360, 27984, 28260, 28375, 28425, 28732, 28739, 29923, 30345, 32235, 32256, 32436, 32528, 32832, 32891, 32908, 32940, 33288, 33775, 33792, 33864, 34230, 34236, 34238, 34272, 34290, 34980, 35220, 35224, 35245, 35378, 35552, 36435, 36708, 36924, 37264, 37485, 38272, 38325, 39392, 39420, 39429, 39627, 40608, 42048, 42240, 43473, 44640, 46736, 46913, 46935, 48664, 49324, 49720, 49725, 49726, 49728, 49968, 52523, 52700, 52704, 52745, 52832, 59332, 59798, 62335, 62628, 62640, 63549, 63744, 63765, 66480, 66843, 67473, 67904, 67925, 68224, 68640, 72343, 74232, 74925, 75993, 76294, 78540, 79590, 79591, 81345, 82240, 84952, 85344, 85362, 86445, 87295, 87635, 93420, 94525, 95974, 98324, 98895, 108234, 113325, 115234, 117672, 117700, 117705, 117964, 120274, 121752, 122385, 123774, 123795, 124279, 124630, 124632, 124635, 124659, 124967, 125229, 125352, 125376, 125592, 125647, 125776, 126327, 126345, 126364, 126525, 126763, 126854, 127283, 127332, 127395, 127750, 127752, 127755, 127845, 128674, 129557, 131232, 131235, 131257, 131292, 131320, 131325, 131328, 131412, 131832, 131856, 131892, 132174, 132225, 132228, 132244, 132318, 132372, 132447, 132460, 132465, 132552, 132620, 132664, 132829, 133212, 133270, 133272, 133275, 133294, 133296, 133452, 133720, 133725, 133924, 134028, 134172, 134205, 134265, 134352, 134445, 134532, 134620, 134624, 134625, 134736, 134770, 134772, 134775, 134790, 134823, 134827, 134952, 134970, 134974, 134976, 134997, 135254, 135270, 135324, 135672, 136392, 136425, 136752.

Some larger examples :