Search a number
-
+
132913008 = 2433307669
BaseRepresentation
bin1111110110000…
…01011101110000
3100021002200101000
413323001131300
5233011204013
621104442000
73202512324
oct773013560
9307080330
10132913008
1169031568
1238619300
13216c8667
141391b984
15ba06973
hex7ec1770

132913008 has 40 divisors (see below), whose sum is σ = 381510800. Its totient is φ = 44304192.

The previous prime is 132913007. The next prime is 132913009. The reversal of 132913008 is 800319231.

It is an interprime number because it is at equal distance from previous prime (132913007) and next prime (132913009).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132913007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153403 + ... + 154266.

It is an arithmetic number, because the mean of its divisors is an integer number (9537770).

Almost surely, 2132913008 is an apocalyptic number.

132913008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132913008 is an abundant number, since it is smaller than the sum of its proper divisors (248597792).

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

132913008 is a wasteful number, since it uses less digits than its factorization.

132913008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307686 (or 307674 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 132913008 is about 11528.7903962211. The cubic root of 132913008 is about 510.3355577160.

The spelling of 132913008 in words is "one hundred thirty-two million, nine hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 307669 615338 923007 1230676 1846014 2461352 2769021 3692028 4922704 5538042 7384056 8307063 11076084 14768112 16614126 22152168 33228252 44304336 66456504 132913008