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1057531076 = 22723103107149
BaseRepresentation
bin111111000010001…
…010010011000100
32201200221010220122
4333002022103010
54131211443301
6252534321112
735130602660
oct7702122304
92650833818
101057531076
114a2a48828
122561b9198
1313b131444
14a06458a0
1562c9781b
hex3f08a4c4

1057531076 has 96 divisors (see below), whose sum is σ = 2264371200. Its totient is φ = 422446464.

The previous prime is 1057531073. The next prime is 1057531091. The reversal of 1057531076 is 6701357501.

It is a super-2 number, since 2×10575310762 = 2236743953411435552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057531073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7097450 + ... + 7097598.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 21057531076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057531076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

1057531076 is an abundant number, since it is smaller than the sum of its proper divisors (1206840124).

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

1057531076 is a wasteful number, since it uses less digits than its factorization.

1057531076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 35.

The square root of 1057531076 is about 32519.7028891717. The cubic root of 1057531076 is about 1018.8205886025.

Adding to 1057531076 its reverse (6701357501), we get a palindrome (7758888577).

The spelling of 1057531076 in words is "one billion, fifty-seven million, five hundred thirty-one thousand, seventy-six".

Divisors: 1 2 4 7 14 23 28 46 92 103 107 149 161 206 214 298 322 412 428 596 644 721 749 1043 1442 1498 2086 2369 2461 2884 2996 3427 4172 4738 4922 6854 9476 9844 11021 13708 15347 15943 16583 17227 22042 23989 30694 31886 33166 34454 44084 47978 61388 63772 66332 68908 77147 95956 107429 111601 154294 214858 223202 253483 308588 352981 366689 429716 446404 506966 705962 733378 1013932 1411924 1466756 1642129 1774381 2470867 2566823 3284258 3548762 4941734 5133646 6568516 7097524 9883468 10267292 11494903 22989806 37768967 45979612 75537934 151075868 264382769 528765538 1057531076