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131956 = 22112999
BaseRepresentation
bin100000001101110100
320201000021
4200031310
513210311
62454524
71056466
oct401564
9221007
10131956
1190160
1264444
13480a6
1436136
1529171
hex20374

131956 has 12 divisors (see below), whose sum is σ = 252000. Its totient is φ = 59960.

The previous prime is 131947. The next prime is 131959. The reversal of 131956 is 659131.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 131956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131959) by changing a digit.

131956 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1456 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2131956 is an apocalyptic number.

It is an amenable number.

131956 is a deficient number, since it is larger than the sum of its proper divisors (120044).

131956 is a wasteful number, since it uses less digits than its factorization.

131956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 3012 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 131956 is about 363.2574844377. The cubic root of 131956 is about 50.9107756864.

The spelling of 131956 in words is "one hundred thirty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 22 44 2999 5998 11996 32989 65978 131956