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12831957 = 321783869
BaseRepresentation
bin110000111100…
…110011010101
3220010221010200
4300330303111
511241110312
61135011113
7214032645
oct60746325
926127120
1012831957
117274926
124369a99
132873898
1419c0525
1511d70dc
hexc3ccd5

12831957 has 12 divisors (see below), whose sum is σ = 19625580. Its totient is φ = 8051328.

The previous prime is 12831937. The next prime is 12831961. The reversal of 12831957 is 75913821.

It can be written as a sum of positive squares in 2 ways, for example, as 5574321 + 7257636 = 2361^2 + 2694^2 .

It is not a de Polignac number, because 12831957 - 28 = 12831701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12831937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41782 + ... + 42087.

It is an arithmetic number, because the mean of its divisors is an integer number (1635465).

Almost surely, 212831957 is an apocalyptic number.

12831957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12831957 is a deficient number, since it is larger than the sum of its proper divisors (6793623).

12831957 is a wasteful number, since it uses less digits than its factorization.

12831957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83892 (or 83889 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 12831957 is about 3582.1721064181. The cubic root of 12831957 is about 234.1159298448.

It can be divided in two parts, 1283 and 1957, that added together give a triangular number (3240 = T80).

The spelling of 12831957 in words is "twelve million, eight hundred thirty-one thousand, nine hundred fifty-seven".

Divisors: 1 3 9 17 51 153 83869 251607 754821 1425773 4277319 12831957