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131192 = 2323231
BaseRepresentation
bin100000000001111000
320122221222
4200001320
513144232
62451212
71054325
oct400170
9218858
10131192
118a626
1263b08
1347939
1435b4c
1528d12
hex20078

131192 has 24 divisors (see below), whose sum is σ = 265440. Its totient is φ = 60720.

The previous prime is 131171. The next prime is 131203. The reversal of 131192 is 291131.

It is a happy number.

It is a super-2 number, since 2×1311922 = 34422681728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4217 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (11060).

2131192 is an apocalyptic number.

It is an amenable number.

131192 is an abundant number, since it is smaller than the sum of its proper divisors (134248).

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

131192 is a wasteful number, since it uses less digits than its factorization.

131192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 131192 is about 362.2043622045. The cubic root of 131192 is about 50.8123308980.

It can be divided in two parts, 131 and 192, that multiplied together give a palindrome (25152).

The spelling of 131192 in words is "one hundred thirty-one thousand, one hundred ninety-two".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 529 713 1058 1426 2116 2852 4232 5704 16399 32798 65596 131192