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admirable n.  and  odious n.

First numbers that belong to both sets:

42, 56, 70, 84, 88, 104, 138, 140, 174, 186, 224, 234, 364, 426, 532, 618, 642, 644, 654, 672, 678, 762, 812, 868, 906, 942, 992, 1002, 1036, 1194, 1204, 1362, 1374, 1398, 1488, 1504, 1578, 1698, 1878, 1888, 1952, 2002, 2044, 2082, 2094, 2154, 2202, 2238, 2274, 2298, 2480, 2492, 2586, 2598, 2634, 2658, 2694, 2742, 2766, 2778, 2802, 2828, 2874, 2884, 2922, 2946, 2994, 2996, 3018, 3054, 3230, 3246, 3414, 3472, 3556, 3594, 3642, 3714, 3786, 3836, 3882, 3892, 4228, 4396, 4434, 4566, 4730, 4782, 4844, 5034, 5068, 5142, 5442, 5456, 5466, 5574, 5622, 5718, 5802, 5830, 5982, 6186, 6200, 6244, 6306, 6378, 6412, 6448, 6692, 6702, 6748, 6906, 7086, 7192, 7338, 7425, 7494, 7588, 7756, 7818, 7842, 7868, 7914, 7924, 8202, 8204, 8238, 8394, 8432, 8596, 8634, 8682, 8706, 8708, 8718, 8754, 8826, 8886, 8898, 8922, 8934, 8958, 8994, 9066, 9138, 9186, 9258, 9268, 9354, 9402, 9424, 9436, 9555, 9642, 9762, 9884, 9978, 10158, 10254, 10338, 10398, 10446, 10482, 10554, 10612, 10662, 10698, 10722, 10724, 10734, 10792, 10806, 10866, 11082, 11096, 11166, 11202, 11226, 11228, 11238, 11262, 11274, 11406, 11408, 11442, 11694, 11706, 11838, 11874, 11922, 11958, 11982, 11994, 12018, 12066, 12068, 12124, 12162, 12174, 12234, 12292, 12522, 12796, 12846, 12858, 12908, 12966, 13218, 13242, 13638, 13686, 13736, 13782, 13866, 13972, 13998, 14252, 14384, 14394, 14466, 14502, 14538, 14588, 14644, 14754, 14862, 15234, 15258, 15294, 15306, 15316, 15342, 15546, 15596, 15702, 15872, 15882, 15932, 15978, 15988, 16026, 16062, 16098, 16122, 16156, 16256, 16266, 16314, 16662, 16734, 16828, 16996, 17058, 17164, 17272, 17322, 17332, 17502, 17718, 17742, 17778, 17814, 18006, 18246, 18294, 18352, 18474, 18508, 18844, 18956, 18978, 19002, 19086, 19122, 19124, 19146, 19348, 19374, 19542, 19626.

Some larger examples :