Search a number
-
+
132784840 = 2353319621
BaseRepresentation
bin1111110101000…
…10001011001000
3100020212011120001
413322202023020
5232443103330
621102012344
73201436546
oct772421310
9306764501
10132784840
1168a54241
12385770b4
1321682216
14138c6d96
15b9cd9ca
hex7ea22c8

132784840 has 16 divisors (see below), whose sum is σ = 298765980. Its totient is φ = 53113920.

The previous prime is 132784829. The next prime is 132784843. The reversal of 132784840 is 48487231.

It can be written as a sum of positive squares in 2 ways, for example, as 121749156 + 11035684 = 11034^2 + 3322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132784840.

It is not an unprimeable number, because it can be changed into a prime (132784843) 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, 1659771 + ... + 1659850.

Almost surely, 2132784840 is an apocalyptic number.

132784840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132784840 is an abundant number, since it is smaller than the sum of its proper divisors (165981140).

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

132784840 is a wasteful number, since it uses less digits than its factorization.

132784840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319632 (or 3319628 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 132784840 is about 11523.2304498348. The cubic root of 132784840 is about 510.1714661182.

The spelling of 132784840 in words is "one hundred thirty-two million, seven hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3319621 6639242 13278484 16598105 26556968 33196210 66392420 132784840