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131264592 = 2436434253
BaseRepresentation
bin1111101001011…
…11000001010000
3100010222221011120
413310233001100
5232100431332
621005242240
73152505414
oct764570120
9303887146
10131264592
1168106038
1237b63380
132126c274
141360cd44
15b7cd32c
hex7d2f050

131264592 has 40 divisors (see below), whose sum is σ = 339707424. Its totient is φ = 43676544.

The previous prime is 131264569. The next prime is 131264593. The reversal of 131264592 is 295462131.

131264592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312645922 = 34460786225852928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131264593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28738 + ... + 32990.

Almost surely, 2131264592 is an apocalyptic number.

131264592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131264592 is an abundant number, since it is smaller than the sum of its proper divisors (208442832).

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

131264592 is a wasteful number, since it uses less digits than its factorization.

131264592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907 (or 4901 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 131264592 is about 11457.0760667807. The cubic root of 131264592 is about 508.2170110500.

The spelling of 131264592 in words is "one hundred thirty-one million, two hundred sixty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 643 1286 1929 2572 3858 4253 5144 7716 8506 10288 12759 15432 17012 25518 30864 34024 51036 68048 102072 204144 2734679 5469358 8204037 10938716 16408074 21877432 32816148 43754864 65632296 131264592