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5420006460 = 2234511304153
BaseRepresentation
bin1010000110000111…
…01011110000111100
3111222201200212010000
411003003223300330
542100010201320
62253453314300
7251212203051
oct50303536074
914881625100
105420006460
1123314a8090
121073195990
13684b8651b
14395b93028
1521ac6cc90
hex1430ebc3c

5420006460 has 120 divisors (see below), whose sum is σ = 18548527536. Its totient is φ = 1313936640.

The previous prime is 5420006437. The next prime is 5420006477. The reversal of 5420006460 is 646000245.

It is a happy number.

5420006460 is a `hidden beast` number, since 542 + 0 + 0 + 0 + 64 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134257 + ... + 169896.

Almost surely, 25420006460 is an apocalyptic number.

It is an amenable number.

5420006460 is an abundant number, since it is smaller than the sum of its proper divisors (13128521076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5420006460 is a wasteful number, since it uses less digits than its factorization.

5420006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304185 (or 304174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5420006460 is about 73620.6931507711. The cubic root of 5420006460 is about 1756.5746113587.

The spelling of 5420006460 in words is "five billion, four hundred twenty million, six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 304153 608306 912459 1216612 1520765 1824918 2737377 3041530 3345683 3649836 4562295 5474754 6083060 6691366 8212131 9124590 10037049 10949508 13382732 13686885 16424262 16728415 18249180 20074098 24636393 27373770 30111147 32848524 33456830 40148196 41060655 49272786 50185245 54747540 60222294 66913660 82121310 90333441 98545572 100370490 120444588 123181965 150555735 164242620 180666882 200740980 246363930 271000323 301111470 361333764 451667205 492727860 542000646 602222940 903334410 1084001292 1355001615 1806668820 2710003230 5420006460