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alternating n.  and  Zumkeller n.

First numbers that belong to both sets:

6, 12, 30, 54, 56, 70, 78, 90, 96, 210, 216, 234, 252, 258, 270, 272, 276, 294, 414, 416, 432, 438, 456, 474, 476, 490, 492, 496, 498, 612, 616, 618, 630, 636, 650, 654, 672, 678, 690, 696, 810, 812, 816, 832, 834, 836, 852, 858, 870, 876, 894, 896, 945, 1014, 1032, 1036, 1038, 1050, 1056, 1074, 1092, 1212, 1216, 1218, 1230, 1232, 1236, 1254, 1272, 1290, 1410, 1416, 1430, 1434, 1452, 1456, 1470, 1472, 1476, 1496, 1610, 1614, 1632, 1638, 1650, 1652, 1656, 1672, 1674, 1692, 1696, 1698, 1812, 1830, 1836, 1856, 1870, 1872, 1876, 1878, 1890, 1896, 3010, 3012, 3016, 3018, 3030, 3036, 3052, 3054, 3072, 3078, 3090, 3096, 3210, 3216, 3230, 3234, 3250, 3252, 3256, 3270, 3276, 3290, 3294, 3410, 3414, 3416, 3430, 3432, 3450, 3456, 3472, 3496, 3498, 3612, 3618, 3630, 3654, 3672, 3678, 3690, 3696, 3810, 3816, 3834, 3836, 3850, 3858, 3870, 3876, 3892, 3894, 4725, 5010, 5012, 5016, 5032, 5034, 5052, 5056, 5070, 5076, 5096, 5214, 5232, 5236, 5238, 5250, 5256, 5292, 5298, 5412, 5418, 5430, 5432, 5454, 5456, 5472, 5478, 5490, 5496, 5610, 5616, 5632, 5656, 5658, 5670, 5676, 5694, 5696, 5810, 5814, 5830, 5838, 5850, 5852, 5856, 5874, 5892, 5896, 5898, 7014, 7032, 7038, 7050, 7070, 7072, 7074, 7098, 7210, 7212, 7216, 7230, 7232, 7236, 7252, 7254, 7272, 7278, 7290, 7296, 7410, 7416, 7434, 7436, 7452, 7458, 7470, 7476, 7490, 7494, 7614, 7616, 7630, 7632, 7638, 7650, 7656, 7672, 7674, 7692, 7696, 7698, 7812, 7818, 7830, 7832, 7836, 7854, 7872, 7878, 7890, 7896, 8505, 8925, 9012, 9016, 9018, 9030, 9072, 9078, 9090, 9096, 9210, 9212, 9234, 9256, 9258, 9270, 9272, 9276, 9294, 9296, 9416, 9432, 9436, 9438, 9450, 9456.

Some larger examples :