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131653564 = 22723204431
BaseRepresentation
bin1111101100011…
…01111110111100
3100011201200201221
413312031332330
5232200403224
621021443124
73156015430
oct766157674
9304650657
10131653564
11683512a9
12381104a4
1321377323
14136b09c0
15b8586e4
hex7d8dfbc

131653564 has 24 divisors (see below), whose sum is σ = 274756608. Its totient is φ = 53969520.

The previous prime is 131653553. The next prime is 131653567. The reversal of 131653564 is 465356131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131653567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101572 + ... + 102859.

It is an arithmetic number, because the mean of its divisors is an integer number (11448192).

Almost surely, 2131653564 is an apocalyptic number.

131653564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131653564 is an abundant number, since it is smaller than the sum of its proper divisors (143103044).

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

131653564 is a wasteful number, since it uses less digits than its factorization.

131653564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204465 (or 204463 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 131653564 is about 11474.0386961174. The cubic root of 131653564 is about 508.7185102062.

The spelling of 131653564 in words is "one hundred thirty-one million, six hundred fifty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 204431 408862 817724 1431017 2862034 4701913 5724068 9403826 18807652 32913391 65826782 131653564