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self n.  and  Zumkeller n.

First numbers that belong to both sets:

20, 42, 108, 132, 176, 198, 222, 312, 378, 468, 490, 558, 580, 714, 760, 804, 828, 894, 918, 940, 984, 1032, 1122, 1144, 1188, 1212, 1300, 1368, 1480, 1548, 1614, 1638, 1660, 1704, 1728, 1750, 1794, 1840, 1884, 1952, 1974, 2022, 2044, 2088, 2112, 2156, 2200, 2268, 2380, 2448, 2470, 2492, 2514, 2538, 2560, 2604, 2628, 2694, 2716, 2740, 2784, 2874, 2920, 2964, 3008, 3078, 3100, 3168, 3190, 3280, 3348, 3392, 3414, 3416, 3460, 3504, 3594, 3618, 3640, 3684, 3752, 3774, 3820, 3864, 3954, 3976, 4136, 4158, 4180, 4248, 4270, 4314, 4360, 4404, 4428, 4472, 4494, 4540, 4584, 4674, 4720, 4764, 4854, 4920, 4944, 5010, 5080, 5148, 5170, 5192, 5214, 5238, 5260, 5304, 5328, 5394, 5418, 5440, 5484, 5530, 5574, 5620, 5664, 5754, 5820, 5844, 5888, 5910, 5934, 6000, 6048, 6114, 6138, 6160, 6204, 6294, 6318, 6340, 6384, 6474, 6496, 6520, 6564, 6608, 6654, 6720, 6744, 6810, 6834, 6900, 6924, 6968, 6990, 7038, 7060, 7104, 7128, 7150, 7194, 7216, 7240, 7284, 7374, 7420, 7464, 7532, 7554, 7620, 7644, 7710, 7734, 7756, 7800, 7824, 7868, 7890, 7912, 7936, 7980, 8050, 8094, 8118, 8140, 8184, 8274, 8296, 8320, 8364, 8432, 8454, 8520, 8544, 8610, 8634, 8700, 8724, 8790, 8880, 8970, 9040, 9084, 9152, 9174, 9196, 9220, 9264, 9354, 9420, 9444, 9510, 9534, 9600, 9624, 9690, 9780, 9870, 9960, 10032, 10098, 10122, 10212, 10300, 10458, 10480, 10570, 10614, 10638, 10660, 10704, 10728, 10794, 10840, 10884, 10974, 11022, 11088, 11112, 11178, 11200, 11312, 11336, 11380, 11448, 11492, 11514, 11560, 11604, 11628, 11694, 11718, 11740, 11784, 11830, 11874, 11920, 11964, 12056, 12078, 12124, 12236, 12258, 12280, 12348, 12414, 12416, 12460, 12504, 12528, 12572, 12594, 12640, 12684, 12774, 12796, 12820, 12864, 12908, 12954, 13024, 13068.

Some larger examples :