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131252740 = 2256562637
BaseRepresentation
bin1111101001011…
…00001000000100
3100010222022220121
413310230020010
5232100041430
621005111324
73152426023
oct764541004
9303868817
10131252740
11680a8143
1237b58544
1321266a58
14136088ba
15b7c9a7a
hex7d2c204

131252740 has 12 divisors (see below), whose sum is σ = 275630796. Its totient is φ = 52501088.

The previous prime is 131252711. The next prime is 131252747. The reversal of 131252740 is 47252131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 65836996 = 8088^2 + 8114^2 .

It is not an unprimeable number, because it can be changed into a prime (131252747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3281299 + ... + 3281338.

It is an arithmetic number, because the mean of its divisors is an integer number (22969233).

Almost surely, 2131252740 is an apocalyptic number.

131252740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131252740 is an abundant number, since it is smaller than the sum of its proper divisors (144378056).

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

131252740 is a wasteful number, since it uses less digits than its factorization.

131252740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562646 (or 6562644 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 131252740 is about 11456.5588201693. The cubic root of 131252740 is about 508.2017147968.

The spelling of 131252740 in words is "one hundred thirty-one million, two hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 6562637 13125274 26250548 32813185 65626370 131252740