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1057805164 = 2213195320201
BaseRepresentation
bin111111000011001…
…101001101101100
32201201110001220001
4333003031031230
54131244231124
6252544234044
735133124033
oct7703151554
92651401801
101057805164
114a3115749
1225630b924
1313b1c9120
14a06b771a
1562cedb44
hex3f0cd36c

1057805164 has 48 divisors (see below), whose sum is σ = 2138179680. Its totient is φ = 453772800.

The previous prime is 1057805143. The next prime is 1057805197. The reversal of 1057805164 is 4615087501.

It is a super-2 number, since 2×10578051642 = 2237903529970133792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42264 + ... + 62464.

It is an arithmetic number, because the mean of its divisors is an integer number (44545410).

Almost surely, 21057805164 is an apocalyptic number.

It is an amenable number.

1057805164 is an abundant number, since it is smaller than the sum of its proper divisors (1080374516).

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

1057805164 is a wasteful number, since it uses less digits than its factorization.

1057805164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290 (or 20288 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 1057805164 is about 32523.9167997952. The cubic root of 1057805164 is about 1018.9085993736.

The spelling of 1057805164 in words is "one billion, fifty-seven million, eight hundred five thousand, one hundred sixty-four".

Divisors: 1 2 4 13 19 26 38 52 53 76 106 212 247 494 689 988 1007 1378 2014 2756 4028 13091 20201 26182 40402 52364 80804 262613 383819 525226 767638 1050452 1070653 1535276 2141306 4282612 4989647 9979294 13918489 19958588 20342407 27836978 40684814 55673956 81369628 264451291 528902582 1057805164