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132561688 = 23722910337
BaseRepresentation
bin1111110011010…
…11101100011000
3100020102211110011
413321223230120
5232413433223
621053131304
73166520140
oct771535430
9306384404
10132561688
1168911616
1238489b34
132160478c
1413869920
15b98780d
hex7e6bb18

132561688 has 32 divisors (see below), whose sum is σ = 285328800. Its totient is φ = 56558592.

The previous prime is 132561683. The next prime is 132561691. The reversal of 132561688 is 886165231.

It is a super-2 number, since 2×1325616882 = 35145202250818688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132561688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132561683) 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, 7656 + ... + 17992.

It is an arithmetic number, because the mean of its divisors is an integer number (8916525).

Almost surely, 2132561688 is an apocalyptic number.

It is an amenable number.

132561688 is an abundant number, since it is smaller than the sum of its proper divisors (152767112).

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

132561688 is a wasteful number, since it uses less digits than its factorization.

132561688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10579 (or 10575 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 132561688 is about 11513.5436769050. The cubic root of 132561688 is about 509.8855157610.

The spelling of 132561688 in words is "one hundred thirty-two million, five hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 229 458 916 1603 1832 3206 6412 10337 12824 20674 41348 72359 82696 144718 289436 578872 2367173 4734346 9468692 16570211 18937384 33140422 66280844 132561688