First numbers that belong to both sets:
125,
128,
243,
256,
343,
512,
625,
729,
1000000,
1000188,
1000192,
1000309,
1000448,
1000531,
1000576,
1000625,
1000917,
1000949,
2000000,
2000033,
2000133,
2000376,
2000384,
2000619,
2000896,
3000000,
3000221,
3000227,
3000564,
3000625,
3000832,
4000000,
4000023,
4000066,
4000481,
4000752,
5000000,
5000043,
5000211,
5000704,
6000000,
6000099,
6000399,
6000625,
7000000,
7000531,
7000587,
7000885,
8000000,
8000132,
9000000,
10000000,
10000086,
10000165,
10000179,
10000422,
10000625,
10000665,
10000851,
11000000,
11000125,
11000201,
11000207,
11000320,
11000375,
11000576,
11000610,
11000625,
11000875,
12000000,
12000069,
12000125,
12000198,
12000512,
12000541,
12000798,
13000000,
13000003,
13000192,
13000319,
13000704,
13000739,
13000743,
14000000,
14000128,
14000231,
14000917,
14000931,
15000000,
15000064,
15000129,
15000147,
15000625,
15000633,
16000000,
16000064,
16000256,
16000264,
16000607,
16000625,
16000751,
16000768,
16000821,
17000000,
17000037,
17000625,
18000000,
18000128,
18000187,
18000251,
18000297,
18000625,
18000640,
18000711,
19000000,
19000064,
19000313,
19000413,
19000656,
19000870,
19000881,
19000899,
20000000,
20000115,
20000330,
20000375,
20000601,
20000844,
21000000,
21000242,
21000303,
21000625,
21000704,
21000789,
21000965,
22000000,
22000363,
22000625,
23000000,
23000193,
23000551,
23000679,
24000000,
24000005,
24000138,
24000396,
25000000,
25000215,
25000927,
26000000,
26000429,
26000879,
27000000,
27000625,
27000702,
27000832,
28000000,
28000161,
28000256,
28000462,
28000625,
29000000,
29000349,
29000993,
30000000,
30000495,
30000537,
31000000,
31000725,
32000000,
32000059,
32000128,
32000512,
32000528,
32000913,
33000000,
33000373,
34000000,
34000063,
34000561,
34000625,
35000000,
35000301,
36000000,
36000207,
36000256,
36000374,
36000594,
36000625,
37000000,
37000919,
38000000,
38000128,
38000583,
38000627,
39000000,
39000025,
39000305,
39000625,
40000000,
40000660,
41000000,
41000753,
42000000,
42000693,
43000000,
43000617,
44000000,
44000726,
45000000,
45000387,
45000441,
45000625,
45000962,
46000000,
46000601,
46000629,
46000759,
47000000,
47000817,
48000000,
48000625,
48000792,
49000000,
49000625,
49000696,
50000000,
50000825,
51000000,
51000111,
51000832,
52000000,
52000858,
53000000,
53000212,
53000249,
53000391,
54000000,
54000561,
54000891,
54000907,
55000000,
55000625,
55000863,
56000000,
56000512,
56000924,
57000000,
57000287,
58000000,
58000625,
58000827,
58000957,
59000000,
59000157,
60000000,
60000345,
60000625,
60000990,
61000000,
62000000,
62000721,
63000000,
63000909,
64000000,
64000256,
65000000,
66000000,
66000859,
67000000,
68000000,
69000000,
69000579,
70000000,
71000000,
72000000,
72000414,
73000000,
73000205,
74000000.
Some larger examples :
989000000,
990000000,
991000000,
991000745,
992000000,
993000000,
994000000,
995000000,
995000320,
995000835,
996000000,
997000000,
997000481,
998000000,
998000271,
999000000,
999000250,
999000479,
999000598,
999000877.