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132583320 = 23325368287
BaseRepresentation
bin1111110011100…
…00111110011000
3100020110221010100
413321300332120
5232420131240
621053415400
73166640202
oct771607630
9306427110
10132583320
11689268a1
123849a560
132161158c
1413873772
15b98de30
hex7e70f98

132583320 has 48 divisors (see below), whose sum is σ = 430896960. Its totient is φ = 35355456.

The previous prime is 132583307. The next prime is 132583337. The reversal of 132583320 is 23385231.

132583320 is a `hidden beast` number, since 1 + 325 + 8 + 332 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183784 + ... + 184503.

It is an arithmetic number, because the mean of its divisors is an integer number (8977020).

Almost surely, 2132583320 is an apocalyptic number.

132583320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132583320 is an abundant number, since it is smaller than the sum of its proper divisors (298313640).

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

132583320 is a wasteful number, since it uses less digits than its factorization.

132583320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368304 (or 368297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132583320 is about 11514.4830539630. The cubic root of 132583320 is about 509.9132493738.

The spelling of 132583320 in words is "one hundred thirty-two million, five hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 368287 736574 1104861 1473148 1841435 2209722 2946296 3314583 3682870 4419444 5524305 6629166 7365740 8838888 11048610 13258332 14731480 16572915 22097220 26516664 33145830 44194440 66291660 132583320