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balanced n.  and  Harshad n.

First numbers that belong to both sets:

2, 9, 10, 12, 21, 42, 50, 108, 114, 120, 135, 150, 153, 156, 180, 195, 198, 201, 204, 209, 210, 216, 225, 228, 240, 266, 308, 312, 396, 410, 420, 450, 460, 468, 500, 518, 550, 552, 555, 558, 588, 600, 612, 624, 630, 660, 666, 684, 690, 738, 782, 803, 810, 820, 880, 902, 936, 954, 990, 1014, 1110, 1394, 2022, 2070, 2142, 2151, 2170, 2172, 2205, 2236, 2265, 2268, 2282, 2289, 2331, 2350, 2355, 2358, 2394, 2403, 2412, 2424, 2430, 2445, 2460, 2470, 2484, 2502, 2520, 2530, 2532, 2538, 2618, 2620, 2646, 2710, 2755, 2772, 2790, 2800, 2826, 2844, 2889, 2916, 2926, 2992, 3012, 3024, 3102, 3123, 3132, 3150, 3164, 3180, 3186, 3213, 3222, 3250, 3252, 3276, 3297, 3300, 3312, 3366, 3384, 3402, 3416, 3432, 3474, 3480, 3492, 3504, 3528, 3536, 3610, 3612, 3636, 3640, 3654, 3660, 3672, 3696, 3760, 3780, 3784, 3852, 3864, 3888, 3906, 3920, 3969, 3984, 4000, 4032, 6775, 7035, 7361, 7475, 8001, 8203, 8227, 8337, 8430, 8442, 8622, 8684, 8840, 8883, 8910, 8918, 8924, 8937, 8952, 9015, 9018, 9020, 9099, 9126, 9144, 9162, 9338, 9450, 9503, 9526, 9558, 9585, 9774, 9882, 9900, 9912, 9925, 9960, 10010, 10012, 10026, 10035, 10040, 10053, 10096, 10122, 10130, 10143, 10152, 10160, 10180, 10192, 10208, 10275, 10279, 10302, 10307, 10350, 10413, 10422, 10426, 10431, 10458, 10476, 10505, 10521, 10545, 10574, 10602, 10604, 10635, 10638, 10668, 10674, 10680, 10703, 10724, 10725, 10728, 10782, 10810, 10812, 10854, 10857, 10860, 10872, 10901, 10905, 10908, 10950, 10962, 10968, 10980, 11022, 11030, 11034, 11043, 11052, 11064, 11085, 11106, 11112, 11120, 11142, 11160, 11170, 11172, 11200, 11202, 11208, 11220, 11232, 11265, 11310, 11322, 11331, 11339, 11350, 11354, 11355, 11403, 11430, 11448, 11466, 11476, 11480.

Some larger examples :