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957132 = 2232112417
BaseRepresentation
bin11101001101011001100
31210121221100
43221223030
5221112012
632303100
711064321
oct3515314
91717840
10957132
115a4120
123a1a90
13276867
141acb48
1513d8dc
hexe9acc

957132 has 36 divisors (see below), whose sum is σ = 2640456. Its totient is φ = 289920.

The previous prime is 957119. The next prime is 957133. The reversal of 957132 is 231759.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×9571322 = 1832203330848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 957096 and 957105.

It is not an unprimeable number, because it can be changed into a prime (957133) by changing a digit.

957132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 813 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (73346).

2957132 is an apocalyptic number.

It is an amenable number.

957132 is an abundant number, since it is smaller than the sum of its proper divisors (1683324).

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

957132 is a wasteful number, since it uses less digits than its factorization.

957132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2433 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 957132 is about 978.3312322521. The cubic root of 957132 is about 98.5501475348.

It can be divided in two parts, 957 and 132, that added together give a square (1089 = 332).

The spelling of 957132 in words is "nine hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2417 4834 7251 9668 14502 21753 26587 29004 43506 53174 79761 87012 106348 159522 239283 319044 478566 957132