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nude n.  and  Zuckerman n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 24, 36, 111, 112, 115, 128, 132, 135, 144, 175, 212, 216, 224, 312, 315, 384, 432, 612, 624, 672, 735, 816, 1111, 1112, 1113, 1115, 1116, 1131, 1176, 1184, 1197, 1212, 1296, 1311, 1332, 1344, 1416, 1575, 1715, 2112, 2144, 2232, 2916, 3111, 3132, 3168, 3171, 3276, 3312, 3915, 4112, 4224, 4416, 6144, 6624, 6912, 7112, 7119, 8112, 8832, 9315, 9612, 11111, 11112, 11115, 11133, 11172, 11212, 11232, 11313, 11328, 11331, 11424, 11664, 11711, 11872, 12112, 12128, 12132, 12216, 12224, 12288, 12312, 12432, 12712, 12768, 13113, 13131, 13212, 13248, 13272, 13311, 13824, 13932, 14112, 14144, 16128, 16224, 16416, 16632, 17115, 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, 31131, 31212, 31311, 31488, 32112, 32172, 32616, 32832, 33111, 33264, 34272, 34992, 35175, 37212, 38112, 41112, 41232, 41616, 42112, 42192, 42336, 42432, 42624, 42912, 43632, 48128, 51975, 61344, 61824, 62112, 64128, 66312, 71232, 71316, 72128, 73332, 77175, 77616, 81216, 81312, 82112, 82944, 83232, 86112, 89712, 91728, 92232, 93312, 93744, 111111, 111112, 111115, 111132, 111135, 111168, 111195, 111212, 111216, 111264, 111272, 111312, 111315, 111424, 111432, 111612, 111915, 112112, 112116, 112128, 112224, 112416, 113112, 113115, 113184, 113292, 113319, 113328, 113616, 113715, 114112, 114192, 114312, 114432, 114624, 114816, 114912, 116112, 116172, 116316, 117264, 117432, 117824, 117936, 118112, 118144, 118272, 119115, 119232, 119313, 121112, 121116, 121344, 121392, 121716, 121932, 122112, 123264, 123732, 124112, 124416, 126144, 126432, 131112, 131115, 131139, 131328, 131424, 131712, 131733, 132192, 134112, 134136, 136224, 139212, 139968, 141112, 141184, 141192, 141216, 141312, 141824, 141912, 142112, 143112, 144128, 144384, 146112, 147112.

Some larger examples :