Search a number
-
+
131592 = 2335483
BaseRepresentation
bin100000001000001000
320200111210
4200020020
513202332
62453120
71055436
oct401010
9220453
10131592
118a95a
12641a0
1347b86
1435d56
1528ecc
hex20208

131592 has 16 divisors (see below), whose sum is σ = 329040. Its totient is φ = 43856.

The previous prime is 131591. The next prime is 131611. The reversal of 131592 is 295131.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131592.

It is not an unprimeable number, because it can be changed into a prime (131591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2718 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (20565).

2131592 is an apocalyptic number.

131592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131592 is an abundant number, since it is smaller than the sum of its proper divisors (197448).

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

131592 is a wasteful number, since it uses less digits than its factorization.

131592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5488 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 131592 is about 362.7561164198. The cubic root of 131592 is about 50.8639201986.

The spelling of 131592 in words is "one hundred thirty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 5483 10966 16449 21932 32898 43864 65796 131592