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gapful n.  and  super Niven n.

First numbers that belong to both sets:

100, 110, 120, 140, 150, 200, 220, 240, 280, 300, 330, 360, 400, 440, 480, 500, 550, 600, 660, 700, 770, 800, 880, 900, 990, 1000, 1008, 1010, 1020, 1040, 1050, 1080, 1100, 1110, 1140, 1200, 1320, 1400, 1440, 1500, 1800, 2000, 2020, 2040, 2080, 2100, 2200, 2220, 2280, 2400, 2520, 2640, 2800, 2880, 3000, 3030, 3060, 3120, 3300, 3330, 3600, 3960, 4000, 4040, 4080, 4200, 4400, 4440, 4800, 5000, 5050, 5100, 5400, 5500, 5550, 6000, 6060, 6240, 6300, 6600, 6660, 7000, 7070, 7700, 7770, 8000, 8080, 8400, 8800, 8880, 9000, 9090, 9360, 9900, 9990, 10000, 10008, 10010, 10020, 10040, 10050, 10080, 10100, 10110, 10140, 10200, 10320, 10400, 10440, 10500, 10800, 11000, 11010, 11040, 11100, 11220, 11400, 12000, 12120, 12300, 12600, 13020, 13200, 14000, 14040, 14100, 14400, 15000, 15120, 18000, 20000, 20020, 20040, 20080, 20100, 20160, 20200, 20220, 20280, 20400, 20640, 20800, 20880, 21000, 21120, 21300, 22000, 22020, 22080, 22200, 22440, 22800, 23100, 24000, 24240, 24600, 25200, 26040, 26400, 28000, 28080, 28200, 28800, 30000, 30030, 30060, 30120, 30240, 30300, 30330, 30600, 30960, 31020, 31200, 32100, 33000, 33030, 33300, 33660, 34020, 36000, 36360, 36900, 39060, 39600, 40000, 40040, 40080, 40200, 40320, 40400, 40440, 40800, 41000, 41040, 41400, 42000, 42240, 42600, 44000, 44040, 44400, 44880, 45000, 46200, 48000, 48480, 50000, 50050, 50100, 50400, 50500, 50550, 51000, 52500, 54000, 55000, 55050, 55500, 60000, 60060, 60240, 60300, 60480, 60600, 60660, 62040, 62400, 63000, 63360, 63900, 64200, 66000, 66060, 66600, 68040, 69300, 70000, 70070, 70700, 70770, 77000, 77070, 77700, 80000, 80080, 80400, 80640, 80800, 80880, 82000, 82080, 82800, 84000, 84480, 88000, 88080, 88800, 90000, 90090, 90360, 90900, 90990, 91800, 93060, 93600, 96300, 99000, 99090, 99900, 100000, 100008, 100010, 100020, 100040, 100050, 100080, 100100, 100110, 100140.

Some larger examples :