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admirable n.  and  congruent n.

First numbers that belong to both sets:

20, 24, 30, 54, 56, 70, 78, 84, 88, 102, 120, 138, 174, 222, 224, 246, 270, 308, 318, 366, 368, 426, 438, 464, 476, 532, 534, 582, 606, 644, 654, 678, 822, 894, 942, 992, 1038, 1086, 1146, 1148, 1158, 1182, 1204, 1372, 1374, 1398, 1434, 1446, 1484, 1488, 1504, 1542, 1614, 1638, 1652, 1662, 1686, 1758, 1876, 1878, 1888, 1902, 2022, 2044, 2094, 2118, 2154, 2238, 2298, 2324, 2334, 2382, 2406, 2454, 2492, 2526, 2598, 2694, 2716, 2742, 2766, 2884, 2996, 3018, 3054, 3126, 3164, 3230, 3246, 3342, 3414, 3462, 3556, 3558, 3594, 3606, 3668, 3678, 3702, 3836, 3846, 3882, 3892, 3918, 3966, 4030, 4038, 4062, 4095, 4206, 4228, 4254, 4398, 4542, 4564, 4566, 4614, 4638, 4676, 4782, 4854, 4926, 4974, 5012, 5118, 5142, 5262, 5286, 5404, 5456, 5466, 5516, 5572, 5574, 5622, 5624, 5646, 5718, 5830, 5862, 5908, 5982, 6054, 6078, 6126, 6198, 6200, 6244, 6294, 6356, 6366, 6414, 6524, 6558, 6582, 6654, 6702, 6748, 6774, 6906, 6918, 7028, 7086, 7158, 7192, 7196, 7206, 7278, 7302, 7374, 7422, 7494, 7662, 7734, 7756, 7782, 7806, 7868, 7924, 7926, 8166, 8238, 8286, 8415, 8432, 8454, 8574, 8596, 8598, 8718, 8764, 8886, 8925, 8934, 8958, 9066, 9112, 9268, 9294, 9318, 9354, 9424, 9436, 9582, 9606, 9642, 9654, 9678, 9716, 9726, 9822, 9884, 9942, 10014, 10158, 10182, 10254, 10276, 10326, 10398, 10444, 10446, 10518, 10612, 10662, 10734, 10792, 10806, 11082, 11096, 11166, 11226, 11228, 11238, 11262, 11334, 11406, 11452, 11478, 11598, 11694, 11732, 11838, 11958, 11982, 12068, 12102, 12124, 12174, 12318, 12378, 12404, 12414, 12486, 12534, 12572, 12678, 12774, 12796, 12822, 12846, 12918, 12966, 13076, 13242, 13278, 13326, 13422, 13614, 13636, 13638, 13686, 13736, 13748, 13758, 13782, 13854, 13972, 13998, 14046.

Some larger examples :