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132797984 = 2511234297
BaseRepresentation
bin1111110101001…
…01011000100000
3100020212211120212
413322211120200
5232444013414
621102153252
73201523064
oct772453040
9306784525
10132797984
1168a63100
1238582828
13216881b7
14138cbaa4
15b9d283e
hex7ea5620

132797984 has 36 divisors (see below), whose sum is σ = 287382942. Its totient is φ = 60360960.

The previous prime is 132797981. The next prime is 132797993. The reversal of 132797984 is 489797231.

It can be written as a sum of positive squares in only one way, i.e., 81360400 + 51437584 = 9020^2 + 7172^2 .

It is not an unprimeable number, because it can be changed into a prime (132797981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13277 + ... + 21020.

Almost surely, 2132797984 is an apocalyptic number.

It is an amenable number.

132797984 is an abundant number, since it is smaller than the sum of its proper divisors (154584958).

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

132797984 is a wasteful number, since it uses less digits than its factorization.

132797984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34329 (or 34310 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 132797984 is about 11523.8007619014. The cubic root of 132797984 is about 510.1882990450.

The spelling of 132797984 in words is "one hundred thirty-two million, seven hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 34297 68594 137188 274376 377267 548752 754534 1097504 1509068 3018136 4149937 6036272 8299874 12072544 16599748 33199496 66398992 132797984