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957138 = 237131753
BaseRepresentation
bin11101001101011010010
31210121221120
43221223102
5221112023
632303110
711064330
oct3515322
91717846
10957138
115a4126
123a1a96
13276870
141acb50
1513d8e3
hexe9ad2

957138 has 32 divisors (see below), whose sum is σ = 2357376. Its totient is φ = 252288.

The previous prime is 957133. The next prime is 957139. The reversal of 957138 is 831759.

It is a super-2 number, since 2×9571382 = 1832226302088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 957099 and 957108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 957138.

It is not an unprimeable number, because it can be changed into a prime (957133) 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 15 ways as a sum of consecutive naturals, for example, 331 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (73668).

2957138 is an apocalyptic number.

957138 is an abundant number, since it is smaller than the sum of its proper divisors (1400238).

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

957138 is a wasteful number, since it uses less digits than its factorization.

957138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778.

The product of its digits is 7560, while the sum is 33.

The square root of 957138 is about 978.3342986934. The cubic root of 957138 is about 98.5503534624.

The spelling of 957138 in words is "nine hundred fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1753 3506 5259 10518 12271 22789 24542 36813 45578 68367 73626 136734 159523 319046 478569 957138