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happy n.  and  iban n.

First numbers that belong to both sets:

1, 7, 10, 23, 44, 70, 100, 103, 203, 301, 302, 310, 320, 404, 440, 700, 1000, 1003, 1112, 1114, 1121, 1122, 1141, 1177, 1211, 1212, 1221, 1222, 1247, 1274, 1277, 1300, 1303, 1323, 1373, 1411, 1427, 1444, 1447, 1472, 1474, 1717, 1724, 1727, 1742, 1744, 1771, 1772, 2003, 2111, 2112, 2121, 2122, 2147, 2174, 2177, 2211, 2212, 2221, 2224, 2242, 2300, 2417, 2422, 2471, 2714, 2717, 2741, 2771, 3001, 3002, 3010, 3020, 3100, 3103, 3123, 3173, 3200, 3301, 3310, 3312, 3317, 3321, 3323, 3371, 4004, 4040, 4111, 4127, 4144, 4147, 4172, 4174, 4217, 4222, 4271, 4400, 4414, 4417, 4441, 4447, 4471, 4474, 4477, 4712, 4714, 4721, 4741, 4744, 4747, 4774, 7000, 7117, 7124, 7127, 7142, 7144, 7171, 7172, 7214, 7217, 7241, 7271, 7412, 7414, 7421, 7441, 7444, 7447, 7474, 7711, 7712, 7721, 7744, 10000, 10003, 10112, 10114, 10121, 10122, 10141, 10177, 10211, 10212, 10221, 10222, 10247, 10274, 10277, 10300, 10303, 10323, 10373, 10411, 10427, 10444, 10447, 10472, 10474, 10717, 10724, 10727, 10742, 10744, 10771, 10772, 11012, 11014, 11021, 11022, 11041, 11077, 11102, 11104, 11120, 11124, 11140, 11142, 11143, 11147, 11174, 11201, 11202, 11210, 11214, 11220, 11223, 11241, 11243, 11311, 11314, 11322, 11324, 11341, 11342, 11377, 11401, 11410, 11412, 11417, 11421, 11423, 11471, 11707, 11714, 11741, 11770, 11773, 12011, 12012, 12021, 12022, 12047, 12074, 12077, 12101, 12102, 12110, 12114, 12120, 12123, 12141, 12143, 12201, 12202, 12210, 12220, 12303, 12312, 12314, 12321, 12341, 12347, 12374, 12407, 12411, 12447, 12470, 12473, 12474, 12704, 12707, 12740, 12743, 12744, 12770, 14011, 14027, 14044, 14047, 14072, 14074, 14101, 14110, 14112, 14117, 14121, 14123, 14171, 14207, 14211, 14247, 14270, 14273, 14274, 14311, 14312, 14321, 14327, 14347, 14372, 14374, 14404, 14407, 14427, 14440, 14470, 14472, 14473, 14702.

Some larger examples :