Search a number
-
+
132668688 = 2432763931
BaseRepresentation
bin1111110100001…
…01110100010000
3100020122021020010
413322011310100
5232430344223
621055314520
73200444115
oct772056420
9306567203
10132668688
1168984a49
123851ba40
13216413a9
141389690c
15b9a9393
hex7e85d10

132668688 has 20 divisors (see below), whose sum is σ = 342727568. Its totient is φ = 44222880.

The previous prime is 132668687. The next prime is 132668693. The reversal of 132668688 is 886866231.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2763931 = 132668688 / (1 + 3 + 2 + 6 + 6 + 8 + 6 + 8 + 8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132668681) 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 3 ways as a sum of consecutive naturals, for example, 1381918 + ... + 1382013.

Almost surely, 2132668688 is an apocalyptic number.

It is an amenable number.

132668688 is an abundant number, since it is smaller than the sum of its proper divisors (210058880).

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

132668688 is a wasteful number, since it uses less digits than its factorization.

132668688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763942 (or 2763936 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 132668688 is about 11518.1894410537. The cubic root of 132668688 is about 510.0226671971.

The spelling of 132668688 in words is "one hundred thirty-two million, six hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2763931 5527862 8291793 11055724 16583586 22111448 33167172 44222896 66334344 132668688