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131304 = 2335471
BaseRepresentation
bin100000000011101000
320200010010
4200003220
513200204
62451520
71054545
oct400350
9220103
10131304
118a718
1263ba0
13479c4
1435bcc
1528d89
hex200e8

131304 has 16 divisors (see below), whose sum is σ = 328320. Its totient is φ = 43760.

The previous prime is 131303. The next prime is 131311. The reversal of 131304 is 403131.

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

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 131304.

It is not an unprimeable number, because it can be changed into a prime (131303) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2712 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2131304 is an apocalyptic number.

It is an amenable number.

131304 is an abundant number, since it is smaller than the sum of its proper divisors (197016).

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

131304 is a wasteful number, since it uses less digits than its factorization.

131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5480 (or 5476 counting only the distinct ones).

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

The square root of 131304 is about 362.3589380711. The cubic root of 131304 is about 50.8267864602.

Adding to 131304 its reverse (403131), we get a palindrome (534435).

It can be divided in two parts, 131 and 304, that added together give a triangular number (435 = T29).

The spelling of 131304 in words is "one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 5471 10942 16413 21884 32826 43768 65652 131304