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1056782934 = 232177094871
BaseRepresentation
bin111110111111010…
…011101001010110
32201122112010122200
4332333103221112
54131014023214
6252510305330
735121335544
oct7677235126
92648463580
101056782934
114a2587729
12255ab8246
1313ac2ba5c
14a04ccd94
1562b9ad09
hex3efd3a56

1056782934 has 48 divisors (see below), whose sum is σ = 2428302240. Its totient is φ = 331004160.

The previous prime is 1056782927. The next prime is 1056782999. The reversal of 1056782934 is 4392876501.

1056782934 is a `hidden beast` number, since 1 + 0 + 567 + 82 + 9 + 3 + 4 = 666.

1056782934 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10567829342 = 2233580339187296712, which contains 22 as substring.

1056782934 is strictly pandigital in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056782934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214519 + ... + 219389.

It is an arithmetic number, because the mean of its divisors is an integer number (50589630).

It is a 1-persistent number, because it is pandigital, but 2⋅1056782934 = 2113565868 is not.

Almost surely, 21056782934 is an apocalyptic number.

1056782934 is an abundant number, since it is smaller than the sum of its proper divisors (1371519306).

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

1056782934 is a wasteful number, since it uses less digits than its factorization.

1056782934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1056782934 is about 32508.1979506708. The cubic root of 1056782934 is about 1018.5802797348.

The spelling of 1056782934 in words is "one billion, fifty-six million, seven hundred eighty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 709 1418 2127 4254 4871 6381 9742 12053 12762 14613 24106 29226 36159 43839 72318 82807 87678 108477 165614 216954 248421 496842 745263 1490526 3453539 6907078 10360617 20721234 31081851 58710163 62163702 117420326 176130489 352260978 528391467 1056782934