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131090600 = 2352655453
BaseRepresentation
bin1111101000001…
…00100010101000
3100010200002111102
413310010202220
5232024344400
621001420532
73151152224
oct764044250
9303602442
10131090600
1167aa7343
1237a9a748
132120b004
14135a5784
15b7969d5
hex7d048a8

131090600 has 24 divisors (see below), whose sum is σ = 304786110. Its totient is φ = 52436160.

The previous prime is 131090573. The next prime is 131090623. The reversal of 131090600 is 6090131.

It can be written as a sum of positive squares in 3 ways, for example, as 57851236 + 73239364 = 7606^2 + 8558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 327527 + ... + 327926.

Almost surely, 2131090600 is an apocalyptic number.

131090600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131090600 is an abundant number, since it is smaller than the sum of its proper divisors (173695510).

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

131090600 is a wasteful number, since it uses less digits than its factorization.

131090600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655469 (or 655460 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 131090600 is about 11449.4803375524. The cubic root of 131090600 is about 507.9923635366.

The spelling of 131090600 in words is "one hundred thirty-one million, ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 655453 1310906 2621812 3277265 5243624 6554530 13109060 16386325 26218120 32772650 65545300 131090600