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132433024 = 272935677
BaseRepresentation
bin1111110010011…
…00010010000000
3100020012021221211
413321030102000
5232400324044
621050255504
73165443053
oct771142200
9306167854
10132433024
1168833989
1238427594
132158b049
1413834a9a
15b95e634
hex7e4c480

132433024 has 32 divisors (see below), whose sum is σ = 272936700. Its totient is φ = 63931392.

The previous prime is 132433019. The next prime is 132433039. The reversal of 132433024 is 420334231.

It is a happy number.

132433024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130690624 + 1742400 = 11432^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 132432986 and 132433004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14127 + ... + 21550.

Almost surely, 2132433024 is an apocalyptic number.

It is an amenable number.

132433024 is an abundant number, since it is smaller than the sum of its proper divisors (140503676).

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

132433024 is an equidigital number, since it uses as much as digits as its factorization.

132433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35720 (or 35708 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 132433024 is about 11507.9548139537. The cubic root of 132433024 is about 509.7204978804.

Adding to 132433024 its reverse (420334231), we get a palindrome (552767255).

It can be divided in two parts, 1 and 32433024, that added together give a square (32433025 = 56952).

The spelling of 132433024 in words is "one hundred thirty-two million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 35677 71354 142708 285416 570832 1034633 1141664 2069266 2283328 4138532 4566656 8277064 16554128 33108256 66216512 132433024