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katadrome  and  pseudoperfect n.

First numbers that belong to both sets:

6, 20, 30, 40, 42, 54, 60, 72, 80, 84, 90, 96, 210, 320, 420, 432, 510, 520, 532, 540, 620, 630, 640, 642, 650, 654, 720, 732, 740, 750, 760, 762, 810, 820, 832, 840, 852, 860, 864, 870, 876, 910, 920, 930, 940, 942, 952, 954, 960, 972, 980, 984, 3210, 4320, 5310, 5320, 5420, 5430, 5432, 6210, 6320, 6420, 6432, 6510, 6520, 6540, 7210, 7320, 7410, 7420, 7520, 7530, 7532, 7540, 7542, 7620, 7630, 7632, 7640, 7650, 8310, 8320, 8420, 8430, 8432, 8520, 8532, 8540, 8610, 8620, 8632, 8640, 8652, 8720, 8730, 8740, 8742, 8750, 8754, 8760, 8764, 9210, 9310, 9320, 9420, 9432, 9510, 9520, 9540, 9620, 9630, 9632, 9640, 9642, 9654, 9720, 9730, 9732, 9740, 9750, 9760, 9762, 9765, 9810, 9820, 9840, 9852, 9860, 9864, 9870, 9876, 54210, 54320, 63210, 64320, 65310, 65320, 65420, 65430, 74310, 74320, 75210, 75320, 75420, 75432, 76320, 76410, 76420, 76432, 76520, 76530, 76540, 76542, 84210, 84320, 85320, 85410, 85420, 86310, 86320, 86420, 86430, 86432, 86520, 86532, 86540, 87210, 87320, 87420, 87432, 87510, 87520, 87540, 87620, 87630, 87640, 87642, 87654, 93210, 94320, 95310, 95320, 95410, 95420, 95430, 96210, 96320, 96420, 96432, 96510, 96520, 96530, 96540, 97320, 97410, 97420, 97510, 97520, 97530, 97540, 97542, 97620, 97632, 97640, 97650, 98210, 98310, 98320, 98420, 98430, 98520, 98532, 98540, 98610, 98620, 98640, 98652, 98720, 98730, 98740, 98742, 98754, 98760, 543210, 654210, 654320, 753210, 754320, 764310, 764320, 765210, 765310, 765320, 765420, 765432, 843210, 854310, 854320, 864210, 864320, 865320, 865410, 865420, 873210, 874320, 875310, 875320, 875420, 875430, 875432, 876210, 876320, 876420, 876432, 876510, 876520, 876540, 954210, 954320, 963210, 964320, 965310, 965320, 965420, 965430, 965432, 974310, 974320, 975210, 975320, 975420, 975432, 976320, 976410, 976420, 976430, 976520, 976530, 976540, 976542.

Some larger examples :