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congruent n.  and  Zuckerman n.

First numbers that belong to both sets:

5, 6, 7, 15, 24, 111, 112, 135, 175, 212, 216, 224, 312, 384, 624, 735, 1111, 1112, 1113, 1116, 1131, 1176, 1197, 1212, 1311, 1332, 1344, 1575, 2144, 2232, 3111, 3132, 3168, 3171, 3312, 4112, 4416, 6144, 6624, 7119, 8832, 11111, 11133, 11232, 11711, 11872, 12112, 12128, 12216, 12224, 12312, 12432, 12768, 13212, 13248, 13272, 13311, 13824, 14144, 16128, 16224, 16632, 17136, 18816, 21112, 21216, 21312, 21672, 21728, 22112, 22176, 23424, 24912, 26112, 26136, 26712, 27132, 27216, 28416, 31311, 32112, 33111, 33264, 34272, 35175, 37212, 38112, 41112, 42112, 42192, 42336, 42432, 43632, 48128, 51975, 61344, 61824, 62112, 71232, 71316, 72128, 73332, 77175, 81216, 86112, 89712, 91728, 93744, 111111, 111132, 111135, 111216, 111312, 111424, 111612, 111915, 112112, 112116, 112128, 112224, 113112, 113319, 113616, 114112, 114192, 114432, 114624, 114816, 114912, 116316, 117432, 118112, 118144, 118272, 119232, 121112, 121116, 121716, 122112, 123264, 123732, 124112, 124416, 126144, 126432, 131424, 131733, 132192, 134112, 134136, 141112, 141184, 141312, 141912, 144384, 149112, 161112, 161136, 163296, 171612, 172116, 175175, 177135, 177184, 179424, 182112, 183168, 193212, 197316, 198144, 211116, 212224, 213192, 214112, 217112, 218112, 219132, 219744, 221112, 221184, 222192, 231264, 232416, 234432, 241472, 241632, 242112, 261216, 266112, 272832, 282112, 282624, 291168, 293112, 312732, 313173, 316116, 316224, 317184, 331317, 331344, 336312, 341112, 341712, 371175, 373212, 381312, 382464, 391311, 411192, 411216, 411312, 412112, 413112, 413184, 416112, 418112, 421632, 421888, 422112, 422144, 434112, 437472, 441216, 441312, 442112, 442176, 476112, 487424, 511175, 613116, 613332, 614112, 626112, 628224, 642816, 647136, 661248, 662112, 671328, 698112, 713664, 714112, 719712, 721112, 724416, 731472, 732312, 739935, 741216, 742112, 772632, 813312, 831312, 842112, 843264, 911115, 911736, 929232, 941112, 942192, 972216, 973728, 1111111, 1111117, 1111173, 1111311, 1111416, 1111424, 1112232, 1112272, 1112616, 1113111, 1113912, 1116216, 1117116, 1117935, 1119312, 1121112, 1121232.

Some larger examples :