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132167140 = 22571675653
BaseRepresentation
bin1111110000010…
…11010111100100
3100012200210020021
413320023113210
5232313322030
621040444524
73163254640
oct770132744
9305623207
10132167140
1168672146
1238319744
13214c7011
14137a5c20
15b90a97a
hex7e0b5e4

132167140 has 48 divisors (see below), whose sum is σ = 319156992. Its totient is φ = 45035136.

The previous prime is 132167137. The next prime is 132167141. The reversal of 132167140 is 41761231.

It is not an unprimeable number, because it can be changed into a prime (132167141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20554 + ... + 26206.

It is an arithmetic number, because the mean of its divisors is an integer number (6649104).

Almost surely, 2132167140 is an apocalyptic number.

132167140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132167140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159578496).

132167140 is an abundant number, since it is smaller than the sum of its proper divisors (186989852).

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

132167140 is a wasteful number, since it uses less digits than its factorization.

132167140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 132167140 is about 11496.3968268323. The cubic root of 132167140 is about 509.3791496770.

The spelling of 132167140 in words is "one hundred thirty-two million, one hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 334 668 835 1169 1670 2338 3340 4676 5653 5845 11306 11690 22612 23380 28265 39571 56530 79142 113060 158284 197855 395710 791420 944051 1888102 3776204 4720255 6608357 9440510 13216714 18881020 26433428 33041785 66083570 132167140