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131635364 = 2272671609
BaseRepresentation
bin1111101100010…
…01100010100100
3100011200202202212
413312021202210
5232144312424
621021222552
73155611400
oct766114244
9304622685
10131635364
1168339663
1238101a58
132136bc63
14136a8100
15b85310e
hex7d898a4

131635364 has 18 divisors (see below), whose sum is σ = 267972390. Its totient is φ = 56415072.

The previous prime is 131635351. The next prime is 131635397. The reversal of 131635364 is 463536131.

It can be written as a sum of positive squares in only one way, i.e., 116812864 + 14822500 = 10808^2 + 3850^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131635364.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 335609 + ... + 336000.

It is an arithmetic number, because the mean of its divisors is an integer number (14887355).

Almost surely, 2131635364 is an apocalyptic number.

131635364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131635364 is an abundant number, since it is smaller than the sum of its proper divisors (136337026).

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

131635364 is a wasteful number, since it uses less digits than its factorization.

131635364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671627 (or 671618 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The square root of 131635364 is about 11473.2455739429. The cubic root of 131635364 is about 508.6950671047.

The spelling of 131635364 in words is "one hundred thirty-one million, six hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 671609 1343218 2686436 4701263 9402526 18805052 32908841 65817682 131635364