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132896320 = 265597039
BaseRepresentation
bin1111110101111…
…01011001000000
3100021001211110221
413322331121000
5233010140240
621104232424
73202412554
oct772753100
9307054427
10132896320
116901aa77
123860b714
13216c0b9b
1413915864
15ba01a4a
hex7ebd640

132896320 has 56 divisors (see below), whose sum is σ = 321868800. Its totient is φ = 52250112.

The previous prime is 132896251. The next prime is 132896339. The reversal of 132896320 is 23698231.

It is a happy number.

It is a super-2 number, since 2×1328963202 = 35322863739084800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15361 + ... + 22399.

Almost surely, 2132896320 is an apocalyptic number.

132896320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160934400).

132896320 is an abundant number, since it is smaller than the sum of its proper divisors (188972480).

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

132896320 is an equidigital number, since it uses as much as digits as its factorization.

132896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 132896320 is about 11528.0666202100. The cubic root of 132896320 is about 510.3141982911.

The spelling of 132896320 in words is "one hundred thirty-two million, eight hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 7039 9440 14078 18880 28156 35195 56312 70390 112624 140780 225248 281560 415301 450496 563120 830602 1126240 1661204 2076505 2252480 3322408 4153010 6644816 8306020 13289632 16612040 26579264 33224080 66448160 132896320