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abundant n.  and  Friedman n.

First numbers that belong to both sets:

126, 216, 736, 1206, 1260, 1296, 1530, 1792, 2500, 2502, 2508, 2592, 2916, 3378, 3784, 3864, 3972, 4088, 4536, 4624, 5120, 5776, 5832, 6144, 6880, 8092, 9216, 10192, 10368, 10824, 11025, 11264, 11664, 11844, 12006, 12060, 12100, 12102, 12104, 12108, 12288, 12384, 12544, 12546, 12600, 12762, 12768, 12798, 12960, 12964, 12996, 13176, 13496, 13545, 13764, 13824, 13832, 13842, 13950, 14168, 14175, 14256, 14350, 14352, 15030, 15246, 15300, 15378, 15435, 15552, 15568, 15612, 15618, 15620, 15624, 15642, 16272, 16368, 16374, 16758, 16794, 17325, 17328, 17346, 17368, 17536, 17856, 17892, 17920, 18270, 18432, 18522, 18594, 18744, 19026, 19215, 19392, 19684, 19692, 19734, 19845, 20736, 21504, 21606, 21870, 21952, 22264, 22528, 23328, 23392, 23490, 23548, 23552, 23796, 24336, 24390, 24546, 24564, 24576, 24584, 24768, 24972, 25314, 25872, 26238, 26244, 26348, 26364, 26496, 26624, 26754, 27648, 27654, 28224, 28476, 28554, 28672, 28674, 28728, 28764, 28784, 28900, 29160, 29184, 29526, 31590, 32772, 32778, 32832, 33495, 33696, 34968, 34986, 34992, 35152, 35928, 36850, 36855, 36864, 36918, 37668, 37840, 38416, 38424, 38640, 38856, 38912, 39216, 39288, 39294, 39342, 39366, 39368, 39372, 39424, 39456, 39864, 41468, 41472, 42336, 43264, 43692, 43932, 44676, 45056, 45360, 45366, 45632, 45684, 45760, 45864, 45978, 46256, 46368, 46608, 46624, 46626, 46632, 46640, 46644, 46648, 46650, 46656, 46660, 46662, 46668, 47538, 47652, 48672, 48750, 48752, 48756, 49152, 49584, 49896, 49968, 51200, 52488, 53248, 53824, 53865, 54378, 54432, 54642, 54726, 54768, 55296, 56628, 57288, 57645, 59046, 59048, 59052, 59058, 59064, 59094, 59392, 61440, 62504, 63945, 64036, 64512, 65478, 65480, 65484, 65884, 67228, 67254, 67392, 67950, 68800, 69472, 69822, 69984, 72576, 73926, 73984, 74358, 74536, 74892, 76832, 78126, 78132, 78732, 78975, 81648, 81920, 82936, 82944, 83524, 84672, 86142, 86724, 91854, 92160, 93184, 93294, 93312, 93642, 95232.

Some larger examples :