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132303072 = 25311125287
BaseRepresentation
bin1111110001011…
…00100011100000
3100012221200200210
413320230203200
5232332144242
621043414120
73164362146
oct770544340
9305850623
10132303072
1168755290
1238384340
1321543b55
14137dd596
15b935d9c
hex7e2c8e0

132303072 has 48 divisors (see below), whose sum is σ = 378870912. Its totient is φ = 40091520.

The previous prime is 132303047. The next prime is 132303097. The reversal of 132303072 is 270303231.

It is an interprime number because it is at equal distance from previous prime (132303047) and next prime (132303097).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 61588 + ... + 63699.

It is an arithmetic number, because the mean of its divisors is an integer number (7893144).

Almost surely, 2132303072 is an apocalyptic number.

132303072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132303072 is an abundant number, since it is smaller than the sum of its proper divisors (246567840).

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

132303072 is a wasteful number, since it uses less digits than its factorization.

132303072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125311 (or 125303 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 132303072 is about 11502.3072468092. The cubic root of 132303072 is about 509.5537195496.

The spelling of 132303072 in words is "one hundred thirty-two million, three hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 125287 250574 375861 501148 751722 1002296 1378157 1503444 2004592 2756314 3006888 4009184 4134471 5512628 6013776 8268942 11025256 12027552 16537884 22050512 33075768 44101024 66151536 132303072