First numbers that belong to both sets:
125,
343,
1029,
1215,
1280,
1536,
1701,
1792,
2197,
3125,
3584,
3645,
4374,
4375,
5103,
9375,
10112,
10125,
10206,
10375,
10496,
10624,
10935,
10976,
10985,
11045,
11125,
11421,
11767,
11776,
12005,
12032,
12125,
12167,
12416,
12500,
12879,
12943,
13125,
13568,
13718,
13824,
14045,
14063,
14336,
14375,
14406,
14749,
14823,
15309,
15463,
15616,
15872,
16767,
16807,
17253,
17405,
17496,
17739,
17920,
18125,
18176,
18179,
18605,
18750,
19197,
19375,
19663,
20224,
20237,
20480,
21141,
21870,
21952,
22016,
22445,
22599,
22981,
23125,
23571,
24064,
24334,
24367,
24389,
24565,
24576,
25039,
25205,
25625,
26047,
26645,
26973,
27783,
28125,
28431,
28469,
28672,
29375,
29791,
29889,
30208,
30375,
30527,
31104,
31205,
31213,
31423,
32000,
32805,
33125,
33271,
33614,
34263,
34295,
34304,
34375,
34391,
34445,
35287,
36015,
36352,
36501,
37303,
38125,
38637,
39366,
39605,
40448,
40625,
42496,
43687,
43750,
43904,
44375,
44469,
45927,
47045,
48013,
48223,
49375,
49664,
50000,
50301,
50421,
50653,
51759,
53125,
55223,
55447,
57344,
57591,
59375,
59582,
63423,
65863,
67228,
67797,
68921,
69629,
69984,
73167,
73205,
74431,
78125,
80919,
81920,
83349,
84375,
85169,
85293,
87808,
88837,
89373,
90625,
91125,
91854,
93750,
98304,
98415,
98441,
100359,
100602,
100625,
100736,
100845,
100949,
101120,
101125,
101375,
101632,
101888,
102303,
102487,
102541,
102789,
102885,
102973,
103125,
103173,
103247,
103335,
103375,
103518,
103680,
103750,
103808,
103823,
103933,
103936,
104375,
104615,
104733,
104960,
105125,
105149,
105301,
105344,
105705,
105728,
105856,
105861,
106240,
106677,
107125,
107359,
107375,
107392,
107653,
107776,
107909,
107911,
108032,
108045,
108125,
108135,
108151,
108621,
108864,
109056,
109350,
109375,
109503,
109952,
110079,
110080,
110125,
110336,
110375,
110446,
110464,
110894,
111005,
111104,
111909,
112000,
112023,
112128,
112384,
112509,
112768,
112789,
112847,
112903,
112999,
113024,
113125,
113375,
113533,
113536,
113920,
113967,
114005,
114176,
114375,
114453,
114688,
114875,
115169,
115182,
115351.
Some larger examples :
9953280,
9959375,
9961472,
9962743,
9966159,
9966551,
9967789,
9970533,
9974759,
9975101,
9978641,
9979985,
9980957,
9984375,
9985759,
9988029,
9988463,
9988487,
9992501,
9998677.