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Zuckerman numbers
Numbers divisible by the product of their digits. more

The first 600 Zuckerman numbers :
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, 149112, 161112, 161136, 162432, 163296, 164112, 167328, 171115, 171612, 172116, 173313, 175175, 177135, 177184, 179424, 181248, 182112, 182784, 183168, 183312, 186624, 189216, 191115, 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, 234432, 237132, 239112, 241472, 241632, 242112, 244224, 248832, 261216, 266112, 272832, 282112, 282624, 291168, 293112, 294192, 311112, 311115, 311328, 311424, 311472, 311931, 312336, 312732, 313173, 313416, 313632, 314112, 316116, 316224, 317184, 317331, 321192, 331317, 331344, 333315, 336312, 338112, 341112, 341712, 342144, 344736, 371112, 371175, 373212, 381312, 382464, 383616, 391311, 411112, 411192, 411216, 411264, 411312, 411648, 411712, 411912, 412112, 412416, 413112, 413184, 414112, 416112, 417312, 418112, 419112, 421632, 421888, 422112, 422144, 431112, 431136, 434112, 437472, 438912, 441216, 441312, 442112, 442176, 442368, 476112, 487424, 491112, 511175, 611112, 612864, 613116, 613332, 614112, 621216, 622272, 626112, 628224, 642816, 647136, 661248, 662112, 671328, 688128, 698112, 711312, 711424, 711872, 713664, 714112, 717115, 719712, 721112, 724416, 731115, 731472, 732312, 733131, 733824, 739935, 741216, 742112, 772632, 811296, 813312, 817712, 821248, 831312, 842112, 843264, 863136, 911115, 911331, 911736, 912384, 913113, 914112, 916272, 918144, 921132, 929232, 941112, 941184, 941472, 942192, 964224, 972216, 973728, 1111111, 1111112, 1111113, 1111115, 1111116, 1111117, 1111131, 1111173, 1111212, 1111311, 1111344, 1111416, 1111424, 1111712, 1111968, 1112112, 1112128, 1112224, 1112232, 1112272, 1112616, 1112832, 1113111, 1113264, 1113912, 1114112, 1114176, 1116216, 1116432, 1117116, 1117935, 1118112, 1119312, 1121112, 1121232, 1121616, 1122112, 1122192, 1122312, 1122336, 1122432, 1122624, 1122816, 1122912, 1123632, 1124112, 1124224, 1126272, 1127112, 1127196, 1128448, 1131111, 1131192, 1131264, 1131711, 1131732, 1132128, 1132224, 1132416, 1134144, 1134432, 1141112, 1141248, 1141632, 1142112, 1142144, 1143216, 1143744, 1161216, 1161972, 1162944, 1164288, 1166112, 1167264, 1168128, 1169316, 1171212, 1173312, 1177176, 1177911, 1181184, 1181376, 1181712, 1182112, 1182272, 1191132, 1191915, 1193184, 1193616, 1194912, 1197315, 1211112, 1211232, 1211328, 1211616, 1212112, 1212192, 1212224, 1212312, 1212912, 1213344, 1213824, 1214112, 1216128, 1217664, 1217916, 1218112, 1218432, 1218816, 1221112, 1221192, 1221216, 1221312, 1221472, 1221912, 1222112, 1222144, 1223112, 1223424, 1223712, 1226112, 1229112, 1229184, 1231272.

Distribution of the remainders when the numbers in this family are divided by n=2, 3,..., 11. (I took into account 21896 values, from 1 to 9993393711).

n\r 0  1 
221355541 2 
320506698692 3 
421353872454 4 
526137931229820693475 5 
6200012067650567816 6 
710268197618852005189119241947 7 
820742501191611371263 8 
91711822923416322402291756229229 9 
10017112273613452261362225200823 10 
1120991957206319182083189420161988195520081915

A pictorial representation of the table above
motab
Imagine to divide the members of this family by a number n and compute the remainders. Should they be uniformly distributed, each remainder from 0 to n-1 would be obtained in about (1/n)-th of the cases. This outcome is represented by a white square. Reddish (resp. bluish) squares represent remainders which appear more (resp. less) frequently than 1/n.