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132097600 = 265282561
BaseRepresentation
bin1111101111110…
…10011001000000
3100012120020211201
413313322121000
5232304110400
621035150544
73162545125
oct767723100
9305506751
10132097600
1168624978
12382a5454
13214a147b
141378874c
15b8e506a
hex7dfa640

132097600 has 42 divisors (see below), whose sum is σ = 325046594. Its totient is φ = 52838400.

The previous prime is 132097583. The next prime is 132097619. The reversal of 132097600 is 6790231.

It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 108826624 = 4824^2 + 10432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39681 + ... + 42880.

Almost surely, 2132097600 is an apocalyptic number.

132097600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132097600 is an abundant number, since it is smaller than the sum of its proper divisors (192948994).

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

132097600 is an equidigital number, since it uses as much as digits as its factorization.

132097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82583 (or 82568 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 132097600 is about 11493.3720030285. The cubic root of 132097600 is about 509.2897970579.

The spelling of 132097600 in words is "one hundred thirty-two million, ninety-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 82561 165122 330244 412805 660488 825610 1320976 1651220 2064025 2641952 3302440 4128050 5283904 6604880 8256100 13209760 16512200 26419520 33024400 66048800 132097600