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admirable n.  and  self n.

First numbers that belong to both sets:

20, 42, 222, 894, 1614, 1638, 1952, 2022, 2044, 2492, 2514, 2694, 2716, 2874, 3414, 3594, 3954, 4314, 4854, 5574, 6114, 6294, 6654, 7374, 7532, 7554, 7734, 7756, 7868, 7912, 8432, 8454, 8634, 9354, 11694, 11874, 12124, 12414, 12572, 12594, 12774, 12796, 12908, 13854, 14394, 14754, 15294, 15316, 15474, 15654, 16194, 16374, 16734, 17274, 17454, 17634, 17948, 18534, 19254, 20336, 20694, 21954, 22314, 22316, 22652, 22674, 22988, 23574, 23934, 24114, 24294, 24384, 24474, 24834, 25374, 25396, 25508, 25554, 25734, 26094, 26454, 28074, 29334, 30594, 31674, 31854, 32394, 33114, 33834, 35094, 35252, 35274, 35634, 35812, 35924, 36174, 36534, 38108, 38154, 38334, 40292, 40314, 40516, 40674, 41214, 41394, 41754, 42114, 42474, 42654, 43374, 44094, 45174, 45332, 45354, 45534, 45556, 47804, 48054, 48188, 48234, 48524, 50036, 50214, 50574, 50708, 51654, 52194, 53072, 53094, 54174, 54354, 55254, 55434, 55636, 55972, 57234, 58134, 58268, 58492, 59034, 60474, 60834, 61012, 61554, 61734, 62992, 63174, 63354, 63534, 64254, 64434, 65154, 65334, 65828, 68236, 68348, 70194, 70734, 70868, 71454, 71634, 73052, 73276, 73388, 73434, 73724, 73904, 75234, 76134, 77572, 78428, 80836, 82074, 82254, 83132, 83154, 84054, 86212, 86324, 88732, 91388, 92154, 95728, 98048, 98922, 100324, 100974, 100996, 101874, 102594, 102954, 103516, 104934, 105114, 105474, 105654, 106374, 106734, 107454, 107634, 108354, 108534, 108556, 108668, 108892, 110516, 112314, 112494, 113214, 113372, 113394, 113596, 113754, 114474, 114834, 115554, 115734, 116274, 117354, 118254, 118434, 118748, 119334, 119536, 120774, 121314, 121494, 122214, 122394, 123116, 123294, 123452, 123788, 123834, 124554, 124734, 125094, 125274, 125634, 126196, 126354, 126534, 127074, 131574, 132474, 132654, 133374, 133554, 134094, 134454, 136074, 136254, 136388, 136434, 137154, 138234, 139134, 140214, 140394, 140754, 141092, 141294, 141654, 142734, 143274, 143454, 144174, 145074, 145434, 146154, 146356, 146468, 147054, 149324, 151172, 151374, 151396, 152094, 152454.

Some larger examples :