Search a number
-
+
132314140 = 22577691229
BaseRepresentation
bin1111110001011…
…11010000011100
3100012222020212201
413320233100130
5232333023030
621043541244
73164436340
oct770572034
9305866781
10132314140
1168762632
123838a824
1321548bba
1413803620
15b9392ca
hex7e2f41c

132314140 has 48 divisors (see below), whose sum is σ = 318225600. Its totient is φ = 45268992.

The previous prime is 132314131. The next prime is 132314159. The reversal of 132314140 is 41413231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107046 + ... + 108274.

It is an arithmetic number, because the mean of its divisors is an integer number (6629700).

Almost surely, 2132314140 is an apocalyptic number.

132314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132314140 is an abundant number, since it is smaller than the sum of its proper divisors (185911460).

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

132314140 is a wasteful number, since it uses less digits than its factorization.

132314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132314140 is about 11502.7883576114. The cubic root of 132314140 is about 509.5679282983.

Adding to 132314140 its reverse (41413231), we get a palindrome (173727371).

Subtracting from 132314140 its reverse (41413231), we obtain a palindrome (90900909).

It can be divided in two parts, 13231 and 4140, that added together give a palindrome (17371).

The spelling of 132314140 in words is "one hundred thirty-two million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 769 1229 1538 2458 3076 3845 4916 5383 6145 7690 8603 10766 12290 15380 17206 21532 24580 26915 34412 43015 53830 86030 107660 172060 945101 1890202 3780404 4725505 6615707 9451010 13231414 18902020 26462828 33078535 66157070 132314140