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132494520 = 23357115551
BaseRepresentation
bin1111110010110…
…11010010111000
3100020022102022110
413321123102320
5232404311040
621051452320
73166120254
oct771332270
9306272273
10132494520
1168876104
12384570a0
13215b0032
141384d264
15b972980
hex7e5b4b8

132494520 has 64 divisors (see below), whose sum is σ = 403107840. Its totient is φ = 34832000.

The previous prime is 132494507. The next prime is 132494539. The reversal of 132494520 is 25494231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745 + ... + 16295.

It is an arithmetic number, because the mean of its divisors is an integer number (6298560).

Almost surely, 2132494520 is an apocalyptic number.

132494520 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 132494520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201553920).

132494520 is an abundant number, since it is smaller than the sum of its proper divisors (270613320).

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

132494520 is a wasteful number, since it uses less digits than its factorization.

132494520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15636 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 132494520 is about 11510.6263947711. The cubic root of 132494520 is about 509.7993828397.

The spelling of 132494520 in words is "one hundred thirty-two million, four hundred ninety-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 15551 31102 46653 62204 77755 93306 124408 155510 186612 233265 311020 373224 466530 622040 933060 1104121 1866120 2208242 3312363 4416484 5520605 6624726 8832968 11041210 13249452 16561815 22082420 26498904 33123630 44164840 66247260 132494520