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economical n.  and  hoax n.

First numbers that belong to both sets:

160, 166, 250, 265, 355, 361, 1165, 1219, 1255, 1282, 1312, 1344, 1600, 1633, 1642, 1678, 1795, 1822, 1858, 1894, 1966, 2155, 2173, 2401, 2500, 2515, 2605, 2625, 2785, 2911, 2965, 3505, 3595, 3625, 3649, 3712, 3865, 4189, 4765, 4855, 5145, 6016, 10240, 10291, 10375, 10462, 10489, 10579, 10606, 10624, 10669, 10675, 10689, 10705, 10786, 10797, 10854, 10966, 11065, 11659, 11686, 11695, 11712, 11774, 11785, 11857, 11965, 12055, 12226, 12256, 12262, 12406, 12442, 12622, 12658, 12667, 12775, 12795, 12847, 12937, 12946, 12955, 12957, 12982, 13369, 13408, 13419, 13639, 13666, 13747, 13765, 14026, 14206, 14208, 14242, 14359, 14386, 14422, 14458, 14494, 14566, 14719, 14809, 14881, 14962, 14998, 15115, 15168, 15205, 15286, 15529, 15646, 15682, 15709, 15712, 15835, 15853, 15898, 15981, 16000, 16015, 16078, 16105, 16123, 16125, 16186, 16222, 16285, 16294, 16438, 16474, 16537, 16546, 16582, 16591, 16645, 16726, 16735, 16975, 17086, 17125, 17150, 17455, 17482, 17635, 17661, 17662, 17698, 17889, 17905, 18016, 18022, 18058, 18085, 18177, 18247, 18274, 18346, 18355, 18391, 18409, 18418, 18454, 18562, 18607, 18624, 18742, 18805, 18841, 18895, 18922, 18958, 18985, 18994, 19066, 19147, 19165, 19168, 19246, 19255, 19498, 19606, 19615, 19678, 19761, 19858, 20065, 20299, 20623, 20695, 20785, 21055, 21253, 21361, 21504, 21625, 21667, 21685, 21829, 21865, 21919, 21955, 22081, 22144, 22585, 22837, 23085, 23665, 23750, 23755, 23809, 24352, 24637, 24655, 25000, 25015, 25105, 25195, 25429, 25735, 26185, 26365, 26419, 26527, 26545, 26905, 26995, 27085, 27193, 27355, 27535, 27589, 28032, 28255, 28384, 28705, 29065, 29435, 29515, 29625, 29695, 30055, 30464, 30505, 30739, 30865, 30926, 31585, 31693, 31765, 32562, 32755, 33024, 33169, 33907, 34048, 34555, 34609, 34861, 34987, 35005, 35095, 35125, 35383, 35545, 35635, 36015, 36139, 36265, 36375, 36535, 37165, 37255, 37615, 37705, 37795, 37885, 38263, 38515, 38785.

Some larger examples :