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Harshad n.  and  Lehmer n.

First numbers that belong to both sets:

133, 247, 481, 511, 1141, 1387, 1417, 1729, 2119, 2465, 2821, 3031, 3097, 6331, 7501, 8227, 8911, 9253, 10213, 10963, 18031, 21907, 24643, 27721, 35113, 40261, 47989, 49987, 51319, 53131, 55423, 63631, 66991, 69781, 92701, 101311, 101935, 102277, 103441, 126217, 126701, 130351, 145027, 151183, 152551, 186961, 197011, 204001, 226081, 260221, 267871, 272251, 276013, 307021, 332443, 334153, 342361, 348781, 350227, 405631, 488881, 496651, 498871, 510601, 561241, 600571, 610051, 631351, 647389, 657379, 669631, 691951, 692677, 697531, 764491, 796489, 842023, 856581, 859351, 886483, 898161, 909571, 915981, 924491, 934021, 949753, 1024651, 1129981, 1212751, 1224721, 1232245, 1336699, 1392301, 1398101, 1456579, 1509859, 1517131, 1558477, 1639729, 1746289, 1785631, 1807951, 1822879, 1855381, 1942759, 1987381, 2007901, 2023633, 2050651, 2078581, 2110159, 2113921, 2206261, 2242513, 2259931, 2287831, 2399635, 2430271, 2473021, 2501005, 2522611, 2565137, 2611531, 2640001, 2719981, 2733967, 2759941, 2781661, 2873731, 2899801, 2915581, 2937097, 2974171, 2999701, 3022273, 3109141, 3147103, 3487531, 3521251, 3585781, 3588445, 3593551, 3597595, 3695671, 3766531, 3784249, 3927561, 3940759, 4052035, 4067851, 4069297, 4104361, 4285471, 4313101, 4391491, 4398801, 4504501, 4539361, 4544941, 4572841, 4805893, 4917781, 5017501, 5031181, 5034601, 5178853, 5239459, 5264767, 5356831, 5370103, 5448583, 5451161, 5455909, 5593771, 5621881, 5713951, 5746951, 5796235, 5836861, 5842291, 5884147, 5892511, 5910121, 6041107, 6079951, 6089941, 6096181, 6185845, 6187399, 6277531, 6355651, 6397501, 6524011, 6553741, 6872811, 6953743, 6973057, 7075471, 7289407, 7336693, 7388641, 7563721, 7580461, 7619521, 7745071, 7768261, 7823191, 7890805, 7948081, 8030521, 8147881, 8203231, 8319811, 8353073, 8470891, 8495467, 8511031, 8590441, 8592991, 8667361, 8719309, 8883811, 8961511, 8992201, 9095431, 9096865, 9127721, 9150877, 9176185, 9254461, 9337357, 9452551, 9532495, 9642271, 9656221, 9776251, 9821539, 9828295, 10008307, 10040251, 10067131, 10169581, 10226161, 10362997, 10396963, 10427599, 10457569, 10593661, 10700131, 10974385, 11005237, 11125621, 11141221, 11261053, 11338591, 11349751, 11351341, 11402131, 11411191, 11427871, 11473885, 11619739, 11639719, 11681761, 11935651, 11971921, 11980291, 11984659, 12003193, 12044233, 12261061, 12275749, 12300391, 12325699, 12366991, 12457381, 12468541, 12490201, 12500803, 12502171.

Some larger examples :