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132057984 = 273343901
BaseRepresentation
bin1111101111100…
…00101110000000
3100012111020111110
413313300232000
5232301323414
621034243320
73162321462
oct767605600
9305436443
10132057984
11685a8133
1238286540
1321489426
1413778132
15b8d8459
hex7df0b80

132057984 has 32 divisors (see below), whose sum is σ = 350780040. Its totient is φ = 44019200.

The previous prime is 132057983. The next prime is 132057997. The reversal of 132057984 is 489750231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1320579842 = 34878622276288512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132057983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171567 + ... + 172334.

Almost surely, 2132057984 is an apocalyptic number.

It is an amenable number.

132057984 is an abundant number, since it is smaller than the sum of its proper divisors (218722056).

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

132057984 is an equidigital number, since it uses as much as digits as its factorization.

132057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343918 (or 343906 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 132057984 is about 11491.6484457192. The cubic root of 132057984 is about 509.2388800544.

The spelling of 132057984 in words is "one hundred thirty-two million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 343901 687802 1031703 1375604 2063406 2751208 4126812 5502416 8253624 11004832 16507248 22009664 33014496 44019328 66028992 132057984