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amenable n.  and  Zuckerman n.

First numbers that belong to both sets:

1, 5, 8, 9, 12, 24, 36, 112, 128, 132, 144, 212, 216, 224, 312, 384, 432, 612, 624, 672, 816, 1112, 1113, 1116, 1176, 1184, 1197, 1212, 1296, 1332, 1344, 1416, 2112, 2144, 2232, 2916, 3132, 3168, 3276, 3312, 4112, 4224, 4416, 6144, 6624, 6912, 7112, 8112, 8832, 9612, 11112, 11133, 11172, 11212, 11232, 11313, 11328, 11424, 11664, 11872, 12112, 12128, 12132, 12216, 12224, 12288, 12312, 12432, 12712, 12768, 13113, 13212, 13248, 13272, 13824, 13932, 14112, 14144, 16128, 16224, 16416, 16632, 17136, 18112, 18432, 18816, 19116, 21112, 21132, 21184, 21216, 21248, 21312, 21672, 21728, 22112, 22144, 22176, 23112, 23328, 23424, 24112, 24192, 24912, 26112, 26136, 26712, 27132, 27216, 28416, 31113, 31212, 31488, 32112, 32172, 32616, 32832, 33264, 34272, 34992, 37212, 38112, 41112, 41232, 41616, 42112, 42192, 42336, 42432, 42624, 42912, 43632, 48128, 61344, 61824, 62112, 64128, 66312, 71232, 71316, 72128, 73332, 77616, 81216, 81312, 82112, 82944, 83232, 86112, 89712, 91728, 92232, 93312, 93744, 111112, 111132, 111168, 111212, 111216, 111264, 111272, 111312, 111424, 111432, 111612, 112112, 112116, 112128, 112224, 112416, 113112, 113184, 113292, 113328, 113616, 114112, 114192, 114312, 114432, 114624, 114816, 114912, 116112, 116172, 116316, 117264, 117432, 117824, 117936, 118112, 118144, 118272, 119232, 119313, 121112, 121116, 121344, 121392, 121716, 121932, 122112, 123264, 123732, 124112, 124416, 126144, 126432, 131112, 131328, 131424, 131712, 131733, 132192, 134112, 134136, 136224, 139212, 139968, 141112, 141184, 141192, 141216, 141312, 141824, 141912, 142112, 143112, 144128, 144384, 146112, 147112, 149112, 161112, 161136, 162432, 163296, 164112, 167328, 171612, 172116, 173313, 177184, 179424, 181248, 182112, 182784, 183168, 183312, 186624, 189216, 192132, 193212, 194112, 196128, 197316, 198144, 211112, 211116, 211176, 212112, 212224, 213192, 214112, 214144, 217112, 218112, 219132, 219744, 221112, 221184, 221232, 221616, 222112, 222192, 222912, 229392, 231264, 231336, 232128, 232416.

Some larger examples :