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132261696 = 2632732803
BaseRepresentation
bin1111110001000…
…10011101000000
3100012212120221100
413320202131000
5232324333241
621042454400
73164130420
oct770423500
9305776840
10132261696
1168727196
1238364400
132152b078
14137cc480
15b9289b6
hex7e22740

132261696 has 84 divisors (see below), whose sum is σ = 433275232. Its totient is φ = 37787904.

The previous prime is 132261677. The next prime is 132261733. The reversal of 132261696 is 696162231.

It is a happy number.

132261696 is a `hidden beast` number, since 1 + 32 + 2 + 616 + 9 + 6 = 666.

132261696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132261696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12370 + ... + 20433.

Almost surely, 2132261696 is an apocalyptic number.

132261696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132261696 is an abundant number, since it is smaller than the sum of its proper divisors (301013536).

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

132261696 is a wasteful number, since it uses less digits than its factorization.

132261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32828 (or 32815 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 132261696 is about 11500.5085104964. The cubic root of 132261696 is about 509.5005953285.

The spelling of 132261696 in words is "one hundred thirty-two million, two hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 32803 65606 98409 131212 196818 229621 262424 295227 393636 459242 524848 590454 688863 787272 918484 1049696 1180908 1377726 1574544 1836968 2066589 2099392 2361816 2755452 3149088 3673936 4133178 4723632 5510904 6298176 7347872 8266356 9447264 11021808 14695744 16532712 18894528 22043616 33065424 44087232 66130848 132261696