First numbers that belong to both sets:
125,
256,
343,
729,
1250,
1458,
2187,
6561,
10125,
10985,
12125,
12167,
12769,
12943,
14749,
16121,
16129,
16767,
18125,
18723,
18769,
21870,
30527,
32761,
36501,
38125,
41472,
50301,
65610,
72361,
76545,
76729,
78125,
78961,
96721,
101250,
101632,
103058,
105856,
109056,
109696,
121014,
121216,
121250,
121670,
125056,
125696,
127232,
127616,
129654,
143872,
147456,
161838,
163296,
165632,
169216,
169472,
181250,
210125,
210983,
212341,
212521,
214369,
214569,
216763,
218125,
230121,
230187,
234981,
236927,
238383,
238521,
250563,
252105,
252963,
256907,
258125,
276125,
278125,
290163,
290521,
292329,
298161,
303616,
323072,
329216,
341056,
349696,
367416,
381250,
389632,
416745,
418147,
430923,
434581,
436921,
438125,
438129,
452709,
452929,
454167,
458125,
458329,
476561,
498125,
503296,
547058,
581632,
614125,
614547,
618921,
630125,
656903,
658503,
678125,
690363,
703298,
705894,
781250,
814323,
850743,
876365,
876987,
878125,
905418,
905858,
1010125,
1012581,
1016309,
1018349,
1018367,
1018961,
1030301,
1030563,
1030903,
1032507,
1034125,
1038361,
1052363,
1052761,
1054729,
1054947,
1056321,
1058125,
1058529,
1070503,
1072561,
1074303,
1074789,
1076125,
1078125,
1078727,
1090341,
1090581,
1092125,
1092701,
1092727,
1094125,
1096303,
1098125,
1212125,
1212327,
1212505,
1212541,
1214303,
1214563,
1214941,
1216701,
1218125,
1230309,
1232125,
1236141,
1238125,
1250721,
1250921,
1252161,
1252503,
1256921,
1270129,
1270161,
1270387,
1270565,
1272105,
1272187,
1276303,
1278125,
1278361,
1290709,
1292767,
1292769,
1294507,
1294947,
1294949,
1296149,
1298125,
1298941,
1410129,
1412185,
1412927,
1414189,
1414503,
1414989,
1416521,
1416707,
1418125,
1418305,
1430541,
1434769,
1436141,
1450547,
1450703,
1452549,
1458125,
1458729,
1474767,
1478125,
1478581,
1478741,
1492121,
1492749,
1494341,
1496509,
1496541,
1498581,
1610361,
1618125,
1630729,
1632589,
1638125,
1638363,
1638505,
1654101,
1656147,
1656509,
1658125,
1658181,
1658961,
1670729,
1672569,
1676927,
1678125,
1692705,
1692981,
1694763,
1694925,
1698721,
1812127,
1816103,
1818125,
1818929,
1830125,
1832549,
1852321,
1852389,
1856749,
1856763,
1858107,
1858125,
1858707,
1858789,
1874161,
1878125,
1878541,
1892727,
1894389,
1896129,
1898125,
2101250,
2107616,
2109894,
2121472,
2125210,
2127616,
2141696,
2143690,
2147072,
2147634,
2181250,
2181632,
2181654.
Some larger examples :
987490769,
987634543,
987656329,
987830721,
987832507,
987838149,
987856965,
987872167,
989070341,
989078125,
989256107,
989298305,
989438723,
989478125,
989676549,
989678125,
989812143,
989838387,
989852503,
989870105.