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131232 = 2531367
BaseRepresentation
bin100000000010100000
320200000110
4200002200
513144412
62451320
71054413
oct400240
9220013
10131232
118a662
1263b40
134796a
1435b7a
1528d3c
hex200a0

131232 has 24 divisors (see below), whose sum is σ = 344736. Its totient is φ = 43712.

The previous prime is 131231. The next prime is 131249. The reversal of 131232 is 232131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3 + 27 + 1 + 33 + 217 .

It is not an unprimeable number, because it can be changed into a prime (131231) 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, 588 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2131232 is an apocalyptic number.

131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131232 is an abundant number, since it is smaller than the sum of its proper divisors (213504).

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

131232 is a wasteful number, since it uses less digits than its factorization.

131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 131232 is about 362.2595754428. The cubic root of 131232 is about 50.8174945429.

Adding to 131232 its reverse (232131), we get a palindrome (363363).

It can be divided in two parts, 131 and 232, that added together give a palindrome (363).

The spelling of 131232 in words is "one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1367 2734 4101 5468 8202 10936 16404 21872 32808 43744 65616 131232