Search a number
abundant n.  and  hoax n.

First numbers that belong to both sets:

84, 160, 234, 308, 336, 364, 438, 456, 476, 516, 644, 650, 654, 660, 690, 702, 732, 762, 860, 948, 1086, 1116, 1148, 1312, 1344, 1404, 1484, 1600, 1626, 1650, 1708, 1752, 1812, 1824, 1842, 1876, 2064, 2106, 2166, 2232, 2352, 2500, 2616, 2640, 2760, 2826, 2958, 2960, 3036, 3042, 3048, 3138, 3164, 3246, 3344, 3390, 3474, 3552, 3556, 3618, 3630, 3712, 3792, 3836, 3850, 3892, 3912, 3920, 3930, 4116, 4160, 4188, 4212, 4228, 4344, 4396, 4460, 4564, 4590, 4656, 4676, 4770, 4776, 4794, 4820, 4824, 4844, 4920, 4974, 4980, 5022, 5052, 5068, 5094, 5168, 5268, 5298, 5348, 5412, 5484, 5652, 5742, 5840, 5874, 5946, 6016, 6054, 6060, 6066, 6244, 6260, 6356, 6390, 6500, 6504, 6512, 6524, 6564, 6600, 6620, 6692, 6702, 6714, 6900, 6960, 6980, 7008, 7026, 7028, 7038, 7062, 7150, 7196, 7212, 7236, 7362, 7364, 7428, 7506, 7650, 7674, 7756, 7782, 7924, 8076, 8214, 8244, 8292, 8334, 8415, 8420, 8466, 8508, 8600, 8720, 8724, 8754, 8780, 8790, 8816, 8932, 8982, 9096, 9180, 9294, 9306, 9330, 9350, 9436, 9528, 9540, 9630, 9716, 9772, 9940, 9942, 10044, 10188, 10192, 10240, 10278, 10392, 10464, 10560, 10624, 10698, 10704, 10780, 10806, 10854, 10884, 10926, 10948, 11124, 11228, 11232, 11484, 11574, 11688, 11712, 12068, 12144, 12192, 12318, 12366, 12464, 12546, 12552, 12558, 12612, 12650, 12780, 12796, 12828, 12880, 12908, 12964, 12972, 13194, 13296, 13328, 13428, 13506, 13518, 13520, 13560, 13616, 13748, 13770, 13780, 13848, 13974, 14046, 14076, 14084, 14144, 14208, 14268, 14288, 14472, 14476, 14480, 14484, 14520, 14644, 14712, 14724, 14814, 14946, 14980, 15018, 15024, 15126, 15144, 15148, 15150, 15168, 15282, 15500, 15558, 15596, 15720, 15764, 15780, 15786, 15882, 15950, 16000, 16098, 16434, 16500, 16746, 16752, 16770, 16860, 16890, 17050, 17148, 17150, 17164.

Some larger examples :