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132883257 = 3135476229
BaseRepresentation
bin1111110101110…
…10001100111001
3100021001011120010
413322322030321
5233004231012
621104052133
73202326513
oct772721471
9307034503
10132883257
1169011181
1238604049
13216b7c60
1413910bb3
15b9ecc3c
hex7eba339

132883257 has 16 divisors (see below), whose sum is σ = 191186240. Its totient is φ = 81611712.

The previous prime is 132883199. The next prime is 132883277. The reversal of 132883257 is 752388231.

It is not a de Polignac number, because 132883257 - 27 = 132883129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is the 11528-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132883277) by changing a digit.

It is a nontrivial repunit in base 11527.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18219 + ... + 24447.

It is an arithmetic number, because the mean of its divisors is an integer number (11949140).

Almost surely, 2132883257 is an apocalyptic number.

It is an amenable number.

132883257 is a deficient number, since it is larger than the sum of its proper divisors (58302983).

132883257 is a wasteful number, since it uses less digits than its factorization.

132883257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792.

The product of its digits is 80640, while the sum is 39.

The square root of 132883257 is about 11527.5000325309. The cubic root of 132883257 is about 510.2974773545.

The spelling of 132883257 in words is "one hundred thirty-two million, eight hundred eighty-three thousand, two hundred fifty-seven".

Divisors: 1 3 13 39 547 1641 6229 7111 18687 21333 80977 242931 3407263 10221789 44294419 132883257