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131366564 = 22720112333
BaseRepresentation
bin1111101010001…
…11111010100100
3100011012010001022
413311013322210
5232112212224
621011350312
73153411620
oct765077244
9304163038
10131366564
116817570a
1237bb2398
13212a67c4
1413638180
15b7ed65e
hex7d47ea4

131366564 has 24 divisors (see below), whose sum is σ = 262976448. Its totient is φ = 56247840.

The previous prime is 131366563. The next prime is 131366569. The reversal of 131366564 is 465663131.

It is not an unprimeable number, because it can be changed into a prime (131366563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55142 + ... + 57474.

It is an arithmetic number, because the mean of its divisors is an integer number (10957352).

Almost surely, 2131366564 is an apocalyptic number.

131366564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131366564 is an abundant number, since it is smaller than the sum of its proper divisors (131609884).

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

131366564 is a wasteful number, since it uses less digits than its factorization.

131366564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4353 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 131366564 is about 11461.5253784128. The cubic root of 131366564 is about 508.3485786225.

The spelling of 131366564 in words is "one hundred thirty-one million, three hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 2011 2333 4022 4666 8044 9332 14077 16331 28154 32662 56308 65324 4691663 9383326 18766652 32841641 65683282 131366564