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1057204660 = 2252310212251
BaseRepresentation
bin111111000000111…
…010100110110100
32201200022120011011
4333000322212310
54131121022120
6252523322004
735125043221
oct7700724664
92650276134
101057204660
114a2845566
12256080304
1313b0489b5
14a059c948
1562c30c5a
hex3f03a9b4

1057204660 has 48 divisors (see below), whose sum is σ = 2319956352. Its totient is φ = 403920000.

The previous prime is 1057204613. The next prime is 1057204667. The reversal of 1057204660 is 664027501.

It is a happy number.

It is a super-2 number, since 2×10572046602 = 2235363386251431200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057204667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468535 + ... + 470785.

It is an arithmetic number, because the mean of its divisors is an integer number (48332424).

Almost surely, 21057204660 is an apocalyptic number.

1057204660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057204660 is an abundant number, since it is smaller than the sum of its proper divisors (1262751692).

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

1057204660 is a wasteful number, since it uses less digits than its factorization.

1057204660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1057204660 is about 32514.6837598030. The cubic root of 1057204660 is about 1018.7157552567.

The spelling of 1057204660 in words is "one billion, fifty-seven million, two hundred four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1021 2042 2251 4084 4502 5105 9004 10210 11255 20420 22510 23483 45020 46966 51773 93932 103546 117415 207092 234830 258865 469660 517730 1035460 2298271 4596542 9193084 11491355 22982710 45965420 52860233 105720466 211440932 264301165 528602330 1057204660