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nialpdrome  and  Zumkeller n.

First numbers that belong to both sets:

6, 20, 30, 40, 42, 54, 60, 66, 70, 80, 84, 88, 90, 96, 210, 220, 222, 300, 320, 330, 420, 432, 440, 444, 500, 510, 520, 522, 532, 540, 544, 550, 552, 600, 620, 630, 640, 642, 644, 650, 654, 660, 666, 700, 720, 732, 740, 744, 750, 760, 762, 770, 810, 820, 822, 832, 840, 852, 860, 864, 870, 876, 880, 888, 910, 920, 930, 940, 942, 952, 960, 966, 972, 980, 984, 990, 992, 996, 1000, 1100, 1110, 2000, 2100, 2200, 2210, 2220, 3000, 3100, 3210, 3220, 3300, 3320, 3330, 3332, 4000, 4100, 4110, 4200, 4220, 4300, 4320, 4332, 4400, 4410, 4420, 4422, 4440, 5100, 5110, 5200, 5220, 5300, 5310, 5320, 5322, 5400, 5420, 5430, 5432, 5440, 5442, 5500, 5520, 5530, 5532, 5540, 5544, 5550, 6000, 6100, 6200, 6210, 6220, 6222, 6300, 6320, 6330, 6420, 6432, 6440, 6500, 6510, 6520, 6522, 6540, 6552, 6600, 6620, 6630, 6640, 6642, 6650, 6654, 6660, 6664, 6666, 7000, 7100, 7110, 7210, 7220, 7300, 7320, 7332, 7400, 7410, 7420, 7422, 7440, 7500, 7520, 7530, 7532, 7540, 7552, 7554, 7600, 7620, 7630, 7632, 7640, 7644, 7650, 7660, 7662, 7700, 7710, 7720, 7722, 7740, 7752, 7760, 7764, 7770, 7776, 8000, 8200, 8220, 8300, 8310, 8320, 8322, 8330, 8400, 8420, 8430, 8432, 8440, 8442, 8500, 8520, 8532, 8540, 8544, 8550, 8600, 8610, 8620, 8632, 8640, 8652, 8660, 8664, 8700, 8720, 8730, 8740, 8742, 8750, 8754, 8760, 8764, 8772, 8800, 8820, 8832, 8840, 8844, 8850, 8860, 8862, 8874, 8876, 8880, 8886, 8888, 9000, 9100, 9200, 9210, 9220, 9222, 9300, 9310, 9320, 9330, 9400, 9420, 9432, 9440, 9444, 9500, 9510, 9520, 9540, 9552, 9555, 9600, 9620, 9630, 9632, 9640, 9642, 9654, 9660, 9666, 9700, 9720, 9730, 9732.

Some larger examples :