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Harshad n.  and  tetrahedral n.

First numbers that belong to both sets:

1, 4, 10, 20, 84, 120, 220, 364, 1140, 1330, 1540, 2024, 2300, 2600, 3276, 3654, 4060, 7140, 7770, 10660, 11480, 13244, 14190, 15180, 16215, 19600, 20825, 22100, 23426, 24804, 27720, 29260, 32509, 37820, 39711, 41664, 43680, 45760, 52394, 54740, 57155, 59640, 64824, 67525, 70300, 76076, 85320, 88560, 91881, 95284, 102340, 105995, 121485, 125580, 129766, 147440, 156849, 161700, 187460, 198485, 204156, 215820, 227920, 253460, 287980, 295240, 325500, 341376, 374660, 410040, 419220, 447580, 497640, 596904, 608685, 669920, 695520, 708561, 721764, 790244, 804440, 893200, 1107414, 1125180, 1161280, 1235780, 1313400, 1521520, 1679580, 1703016, 1750540, 1873200, 1898400, 2054360, 2108184, 2218636, 2391444, 2421090, 2450980, 2635500, 2829056, 3244140, 3317040, 3466100, 3619560, 3658620, 3697960, 3939936, 4022880, 4278680, 4322340, 4366296, 4728720, 4965115, 5410240, 5512640, 5616324, 5721300, 5881204, 6044060, 6608580, 7207200, 7840920, 8038030, 8649124, 8930376, 9511040, 9962680, 10039316, 10349790, 10428396, 10586800, 10666600, 10908404, 11071620, 11153835, 11236456, 11998480, 12614424, 12704100, 12794200, 13067054, 13436856, 13718740, 13908836, 14100680, 14197260, 14294280, 15086400, 15187425, 15288900, 15699320, 16117020, 16328620, 16542064, 16974516, 17083794, 17193540, 17974950, 18088476, 19013940, 19250136, 19488280, 19970444, 20337240, 20460496, 21464520, 22369536, 23299640, 24255175, 26098380, 26389980, 27128465, 27578100, 29112720, 29269240, 29426320, 30380616, 30541644, 30703240, 31028140, 31355324, 31684800, 34754544, 35820200, 36180200, 36361101, 36724710, 37644320, 39913740, 41278754, 41476260, 41873160, 43282239, 43486080, 44514890, 45349524, 45559800, 45982300, 48134020, 49013160, 52174360, 52405220, 53335470, 55228866, 55468644, 55709115, 57166550, 57904704, 58400320, 59400020, 59904120, 63250450, 64039976, 64304604, 64569960, 66177440, 69471996, 69751374, 70594000, 72013410, 74323830, 74616060, 74909055, 75792640, 79091870, 79396460, 80007984, 80622640, 85333200, 88245720, 88573365, 88901820, 91223769, 91558740, 91894530, 94268076, 95988256, 97379370, 100558380, 101633224, 101993200, 102715700, 104170920, 107495280, 107868960, 109372340, 110129240, 110508996, 111271125, 112036750, 113966160, 117099080, 117494685, 117891180, 128095730, 128515716, 129358440, 131481350, 133627360, 134492260, 136233240, 136670820, 139315991, 140205240, 145163820, 145620310, 147917120, 152112005, 152582940, 153527724, 159278440, 160250636, 161226780, 161716335, 162206880, 166666500, 167167000, 171207120, 174795180.

Some larger examples :