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132557984 = 25131931541
BaseRepresentation
bin1111110011010…
…10110010100000
3100020102122100222
413321222302200
5232413323414
621053102212
73166503266
oct771526240
9306378328
10132557984
1168909859
1238487968
1321602ba0
1413868436
15b98668e
hex7e6aca0

132557984 has 96 divisors (see below), whose sum is σ = 305948160. Its totient is φ = 55987200.

The previous prime is 132557977. The next prime is 132557989. The reversal of 132557984 is 489755231.

It is not an unprimeable number, because it can be changed into a prime (132557989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244754 + ... + 245294.

It is an arithmetic number, because the mean of its divisors is an integer number (3186960).

Almost surely, 2132557984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132557984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152974080).

132557984 is an abundant number, since it is smaller than the sum of its proper divisors (173390176).

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

132557984 is a wasteful number, since it uses less digits than its factorization.

132557984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 132557984 is about 11513.3828217427. The cubic root of 132557984 is about 509.8807666927.

The spelling of 132557984 in words is "one hundred thirty-two million, five hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 403 416 494 496 541 589 608 806 988 992 1082 1178 1612 1976 2164 2356 3224 3952 4328 4712 6448 7033 7657 7904 8656 9424 10279 12896 14066 15314 16771 17312 18848 20558 28132 30628 33542 41116 56264 61256 67084 82232 112528 122512 133627 134168 164464 218023 225056 245024 267254 268336 318649 328928 436046 534508 536672 637298 872092 1069016 1274596 1744184 2138032 2549192 3488368 4142437 4276064 5098384 6976736 8284874 10196768 16569748 33139496 66278992 132557984