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132404896 = 2513318281
BaseRepresentation
bin1111110010001…
…01011010100000
3100020010212101001
413321011122200
5232343424041
621045521344
73165265051
oct771053240
9306125331
10132404896
1168814838
1238413254
132157b2c0
1413828728
15b956131
hex7e456a0

132404896 has 24 divisors (see below), whose sum is σ = 280724724. Its totient is φ = 61109760.

The previous prime is 132404893. The next prime is 132404897. The reversal of 132404896 is 698404231.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 1073296 = 11460^2 + 1036^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (132404893) 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 3 ways as a sum of consecutive naturals, for example, 158725 + ... + 159556.

Almost surely, 2132404896 is an apocalyptic number.

132404896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132404896 is an abundant number, since it is smaller than the sum of its proper divisors (148319828).

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

132404896 is a wasteful number, since it uses less digits than its factorization.

132404896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318304 (or 318296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 132404896 is about 11506.7326378951. The cubic root of 132404896 is about 509.6844081073.

The spelling of 132404896 in words is "one hundred thirty-two million, four hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 318281 636562 1273124 2546248 4137653 5092496 8275306 10184992 16550612 33101224 66202448 132404896