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132092631 = 321110912241
BaseRepresentation
bin1111101111110…
…01001011010111
3100012120000000200
413313321023113
5232303431011
621035111543
73162524466
oct767711327
9305500020
10132092631
1168621170
12382a25b3
132149c128
14137869dd
15b8e3856
hex7df92d7

132092631 has 24 divisors (see below), whose sum is σ = 210072720. Its totient is φ = 79315200.

The previous prime is 132092621. The next prime is 132092641. The reversal of 132092631 is 136290231.

132092631 is a `hidden beast` number, since 1 + 3 + 20 + 9 + 2 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (132092621) and next prime (132092641).

It is not a de Polignac number, because 132092631 - 213 = 132084439 is a prime.

It is a super-2 number, since 2×1320926312 = 34896926329004322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132092595 and 132092604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132092621) 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 23 ways as a sum of consecutive naturals, for example, 4671 + ... + 16911.

It is an arithmetic number, because the mean of its divisors is an integer number (8753030).

Almost surely, 2132092631 is an apocalyptic number.

132092631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132092631 is a deficient number, since it is larger than the sum of its proper divisors (77980089).

132092631 is a wasteful number, since it uses less digits than its factorization.

132092631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132092631 is about 11493.1558329294. The cubic root of 132092631 is about 509.2834111413.

The spelling of 132092631 in words is "one hundred thirty-two million, ninety-two thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 99 109 327 981 1199 3597 10791 12241 36723 110169 134651 403953 1211859 1334269 4002807 12008421 14676959 44030877 132092631