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132325872 = 24372127443
BaseRepresentation
bin1111110001100…
…10000111110000
3100012222211222020
413320302013300
5232333411442
621044111440
73164515500
oct770620760
9305884866
10132325872
1168770428
1238395580
1321551343
1413807a00
15b93c9ec
hex7e321f0

132325872 has 120 divisors (see below), whose sum is σ = 401688576. Its totient is φ = 37425024.

The previous prime is 132325829. The next prime is 132325883. The reversal of 132325872 is 278523231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298483 + ... + 298925.

Almost surely, 2132325872 is an apocalyptic number.

132325872 is a gapful number since it is divisible by the number (12) 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 132325872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200844288).

132325872 is an abundant number, since it is smaller than the sum of its proper divisors (269362704).

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

132325872 is a wasteful number, since it uses less digits than its factorization.

132325872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 132325872 is about 11503.2983096154. The cubic root of 132325872 is about 509.5829886041.

The spelling of 132325872 in words is "one hundred thirty-two million, three hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 127 147 168 196 254 294 336 381 392 443 508 588 762 784 886 889 1016 1176 1329 1524 1772 1778 2032 2352 2658 2667 3048 3101 3544 3556 5316 5334 6096 6202 6223 7088 7112 9303 10632 10668 12404 12446 14224 18606 18669 21264 21336 21707 24808 24892 37212 37338 42672 43414 49616 49784 56261 65121 74424 74676 86828 99568 112522 130242 148848 149352 168783 173656 225044 260484 298704 337566 347312 393827 450088 520968 675132 787654 900176 1041936 1181481 1350264 1575308 2362962 2700528 2756789 3150616 4725924 5513578 6301232 8270367 9451848 11027156 16540734 18903696 22054312 33081468 44108624 66162936 132325872