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132806832 = 24311172477
BaseRepresentation
bin1111110101001…
…11100010110000
3100020220021201120
413322213202300
5232444304312
621102302240
73201560634
oct772474260
9306807646
10132806832
1168a69814
1238587980
132168c232
14138d0dc4
15b9d528c
hex7ea78b0

132806832 has 40 divisors (see below), whose sum is σ = 343530096. Its totient is φ = 44211456.

The previous prime is 132806777. The next prime is 132806837. The reversal of 132806832 is 238608231.

It is a junction number, because it is equal to n+sod(n) for n = 132806793 and 132806802.

It is not an unprimeable number, because it can be changed into a prime (132806837) 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, 52378 + ... + 54854.

Almost surely, 2132806832 is an apocalyptic number.

132806832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132806832 is an abundant number, since it is smaller than the sum of its proper divisors (210723264).

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

132806832 is a wasteful number, since it uses less digits than its factorization.

132806832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 132806832 is about 11524.1846566254. The cubic root of 132806832 is about 510.1996296533.

The spelling of 132806832 in words is "one hundred thirty-two million, eight hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1117 2234 2477 3351 4468 4954 6702 7431 8936 9908 13404 14862 17872 19816 26808 29724 39632 53616 59448 118896 2766809 5533618 8300427 11067236 16600854 22134472 33201708 44268944 66403416 132806832