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132653631 = 3112715147
BaseRepresentation
bin1111110100000…
…10001000111111
3100020121111120110
413322002020333
5232424404011
621055121103
73200352165
oct772021077
9306544513
10132653631
1168974700
1238513193
1321637596
1413891235
15b9a4ba6
hex7e8223f

132653631 has 24 divisors (see below), whose sum is σ = 197188992. Its totient is φ = 79248400.

The previous prime is 132653623. The next prime is 132653639. The reversal of 132653631 is 136356231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132653623) and next prime (132653639).

It is not a de Polignac number, because 132653631 - 23 = 132653623 is a prime.

It is a super-2 number, since 2×1326536312 = 35193971634968322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23200 + ... + 28346.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2132653631 is an apocalyptic number.

132653631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132653631 is a deficient number, since it is larger than the sum of its proper divisors (64535361).

132653631 is a wasteful number, since it uses less digits than its factorization.

132653631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5232 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 132653631 is about 11517.5358041553. The cubic root of 132653631 is about 510.0033717578.

The spelling of 132653631 in words is "one hundred thirty-two million, six hundred fifty-three thousand, six hundred thirty-one".

Divisors: 1 3 11 33 71 121 213 363 781 2343 5147 8591 15441 25773 56617 169851 365437 622787 1096311 1868361 4019807 12059421 44217877 132653631