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132385736 = 23714531627
BaseRepresentation
bin1111110010000…
…00101111001000
3100020002220002102
413321000233020
5232342320421
621045252532
73165155150
oct771005710
9306086072
10132385736
11688013aa
1238404148
1321572672
1413821760
15b95060b
hex7e40bc8

132385736 has 32 divisors (see below), whose sum is σ = 284053440. Its totient is φ = 56662848.

The previous prime is 132385733. The next prime is 132385763. The reversal of 132385736 is 637583231.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132385736.

It is not an unprimeable number, because it can be changed into a prime (132385733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80555 + ... + 82181.

It is an arithmetic number, because the mean of its divisors is an integer number (8876670).

Almost surely, 2132385736 is an apocalyptic number.

It is an amenable number.

132385736 is an abundant number, since it is smaller than the sum of its proper divisors (151667704).

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

132385736 is a wasteful number, since it uses less digits than its factorization.

132385736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 132385736 is about 11505.9000517126. The cubic root of 132385736 is about 509.6598218454.

The spelling of 132385736 in words is "one hundred thirty-two million, three hundred eighty-five thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 1453 1627 2906 3254 5812 6508 10171 11389 11624 13016 20342 22778 40684 45556 81368 91112 2364031 4728062 9456124 16548217 18912248 33096434 66192868 132385736