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Harshad n.  and  Lynch-Bell n.

First numbers that belong to both sets:

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 24, 36, 48, 126, 132, 135, 162, 216, 264, 312, 315, 324, 396, 432, 612, 624, 648, 735, 864, 936, 1236, 1296, 1368, 1632, 1692, 1764, 1926, 1962, 2136, 2196, 2316, 2916, 3168, 3216, 3276, 3492, 3612, 3816, 3864, 3924, 4172, 4368, 4392, 4872, 4932, 4968, 6132, 6192, 6312, 6384, 6912, 8136, 8736, 9126, 9162, 9216, 9324, 9432, 9612, 12384, 12768, 13248, 13824, 14328, 14832, 17248, 18432, 21384, 23184, 27384, 31248, 31824, 31968, 32184, 34128, 37128, 38472, 41328, 41832, 42168, 43128, 43176, 46872, 48216, 48312, 61824, 68712, 73164, 73248, 73416, 78624, 81432, 84312, 84672, 91368, 91476, 123648, 123864, 123984, 124368, 126384, 129384, 132648, 132864, 136248, 136824, 138264, 138624, 142368, 146328, 146832, 148392, 148632, 162384, 163248, 163824, 164328, 164832, 167832, 168432, 172368, 183264, 183624, 184632, 186432, 189432, 194832, 213648, 213864, 214368, 216384, 231648, 231864, 231984, 234168, 234816, 236184, 238416, 241368, 243168, 243816, 247968, 248136, 248976, 261384, 263184, 283416, 284136, 291384, 297864, 312648, 312864, 312984, 314928, 316248, 316824, 318264, 318624, 319248, 321648, 321864, 324168, 324816, 326184, 328416, 329184, 341928, 342168, 342816, 346128, 348192, 348216, 361248, 361824, 362184, 364128, 381264, 381624, 382416, 384216, 384912, 391824, 412368, 416328, 416832, 418392, 418632, 421368, 423168, 423816, 427896, 428136, 432168, 432816, 436128, 438216, 438912, 439128, 461328, 461832, 463128, 468312, 469728, 478296, 481632, 482136, 483192, 483216, 486312, 491832, 493128, 498312, 612384, 613248, 613824, 613872, 614328, 614832, 618432, 621384, 623184, 627984, 631248, 631824, 632184, 634128, 641328, 641832, 643128, 648312, 671328, 681432, 684312, 689472, 742896, 746928, 783216, 789264, 796824, 813264, 813624, 814632, 816432, 823416, 824136, 831264, 831624, 832416, 834192, 834216, 841632, 842136, 843216, 843912, 846312, 849312, 861432, 864312, 891432, 897624, 912384, 913248, 914328, 918432, 923184, 927864, 931824, 941328, 976248, 978264.

Some larger examples :