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10557932 = 2272115983
BaseRepresentation
bin101000010001…
…100111101100
3201212101202112
4220101213230
510200323212
61014143152
7155512100
oct50214754
921771675
1010557932
115a61370
123651ab8
1322587c8
14158b900
15dd8422
hexa119ec

10557932 has 72 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 3995040.

The previous prime is 10557931. The next prime is 10557947. The reversal of 10557932 is 23975501.

It is a super-2 number, since 2×105579322 = 222939856233248, which contains 22 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10557931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127163 + ... + 127245.

It is an arithmetic number, because the mean of its divisors is an integer number (335160).

Almost surely, 210557932 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 10557932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10557932 is an abundant number, since it is smaller than the sum of its proper divisors (13573588).

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

10557932 is a wasteful number, since it uses less digits than its factorization.

10557932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 10557932 is about 3249.2971547706. The cubic root of 10557932 is about 219.3779397230.

Subtracting 10557932 from its reverse (23975501), we obtain a square (13417569 = 36632).

The spelling of 10557932 in words is "ten million, five hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 83 98 118 154 166 196 236 308 332 413 539 581 649 826 913 1078 1162 1298 1652 1826 2156 2324 2596 2891 3652 4067 4543 4897 5782 6391 8134 9086 9794 11564 12782 16268 18172 19588 25564 31801 34279 44737 53867 63602 68558 89474 107734 127204 137116 178948 215468 239953 377069 479906 754138 959812 1508276 2639483 5278966 10557932