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evil n.  and  gapful n.

First numbers that belong to both sets:

105, 108, 120, 130, 132, 135, 150, 154, 160, 165, 170, 180, 187, 190, 192, 195, 198, 225, 231, 240, 260, 264, 275, 297, 300, 315, 330, 360, 363, 374, 390, 396, 462, 473, 480, 495, 500, 550, 561, 594, 600, 660, 693, 700, 792, 891, 900, 990, 1000, 1005, 1008, 1020, 1032, 1035, 1037, 1040, 1050, 1056, 1065, 1080, 1098, 1100, 1111, 1134, 1136, 1152, 1155, 1170, 1185, 1188, 1200, 1210, 1212, 1215, 1220, 1230, 1260, 1272, 1275, 1278, 1280, 1290, 1300, 1310, 1313, 1320, 1331, 1340, 1360, 1365, 1370, 1376, 1400, 1410, 1430, 1440, 1443, 1450, 1452, 1455, 1458, 1460, 1470, 1484, 1490, 1512, 1515, 1520, 1530, 1536, 1539, 1545, 1548, 1551, 1554, 1560, 1570, 1572, 1575, 1590, 1616, 1632, 1635, 1638, 1650, 1661, 1665, 1680, 1690, 1692, 1695, 1696, 1720, 1725, 1728, 1740, 1752, 1755, 1764, 1771, 1776, 1785, 1800, 1818, 1820, 1830, 1833, 1834, 1856, 1880, 1890, 1904, 1910, 1919, 1920, 1930, 1932, 1935, 1940, 1950, 1960, 1963, 1965, 1974, 1980, 1991, 1992, 1995, 1998, 2000, 2025, 2040, 2059, 2064, 2080, 2100, 2112, 2121, 2160, 2175, 2200, 2222, 2236, 2268, 2275, 2304, 2331, 2340, 2349, 2375, 2400, 2420, 2424, 2440, 2457, 2460, 2496, 2520, 2525, 2541, 2544, 2553, 2560, 2575, 2580, 2600, 2620, 2625, 2626, 2640, 2662, 2680, 2720, 2725, 2740, 2772, 2775, 2800, 2820, 2860, 2875, 2880, 2886, 2900, 2904, 2920, 2925, 2940, 2961, 2968, 2980, 2992, 2997, 3030, 3045, 3060, 3072, 3078, 3090, 3096, 3115, 3120, 3150, 3180, 3185, 3232, 3255, 3264, 3270, 3276, 3300, 3330, 3360, 3390, 3392, 3395, 3450, 3456, 3465, 3480, 3510, 3552, 3570, 3600, 3605, 3636, 3648, 3660, 3663, 3675, 3712, 3745, 3751, 3780, 3838, 3840, 3870, 3885, 3900, 3930.

Some larger examples :