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admirable n.  and  Zumkeller n.

First numbers that belong to both sets:

12, 20, 24, 30, 40, 42, 54, 56, 66, 70, 78, 84, 88, 102, 104, 114, 120, 138, 140, 174, 186, 222, 224, 234, 246, 258, 270, 282, 308, 318, 354, 364, 366, 368, 402, 426, 438, 464, 474, 476, 498, 532, 534, 582, 606, 618, 642, 644, 650, 654, 672, 678, 762, 786, 812, 822, 834, 836, 868, 894, 906, 942, 945, 978, 992, 1002, 1036, 1038, 1074, 1086, 1146, 1148, 1158, 1182, 1194, 1204, 1266, 1316, 1338, 1362, 1372, 1374, 1398, 1434, 1446, 1484, 1488, 1504, 1506, 1542, 1578, 1614, 1626, 1638, 1652, 1662, 1686, 1698, 1708, 1758, 1842, 1866, 1876, 1878, 1888, 1902, 1952, 1986, 1988, 2002, 2022, 2044, 2082, 2094, 2118, 2154, 2202, 2212, 2238, 2274, 2298, 2324, 2334, 2382, 2406, 2454, 2480, 2492, 2514, 2526, 2586, 2598, 2634, 2658, 2694, 2716, 2742, 2766, 2778, 2802, 2828, 2874, 2884, 2922, 2946, 2994, 2996, 3018, 3052, 3054, 3126, 3138, 3164, 3230, 3246, 3250, 3282, 3342, 3378, 3414, 3426, 3462, 3472, 3522, 3556, 3558, 3594, 3606, 3642, 3668, 3678, 3702, 3714, 3724, 3770, 3786, 3836, 3846, 3858, 3882, 3892, 3918, 3954, 3966, 4030, 4038, 4062, 4095, 4098, 4146, 4172, 4206, 4228, 4254, 4314, 4362, 4396, 4398, 4434, 4458, 4506, 4542, 4564, 4566, 4614, 4638, 4676, 4722, 4730, 4782, 4844, 4854, 4866, 4926, 4938, 4962, 4974, 5012, 5034, 5068, 5118, 5142, 5154, 5178, 5262, 5286, 5298, 5322, 5348, 5404, 5442, 5456, 5466, 5514, 5516, 5572, 5574, 5622, 5624, 5646, 5682, 5718, 5802, 5826, 5830, 5862, 5898, 5908, 5946, 5982, 6054, 6078, 6114, 6126, 6186, 6198, 6200, 6234, 6244, 6294, 6306, 6356, 6366, 6378, 6412, 6414, 6435, 6448, 6522, 6524, 6546, 6558, 6582, 6618, 6654, 6692, 6702, 6738, 6748, 6774.

Some larger examples :