Search a number
-
+
132313400 = 23525911213
BaseRepresentation
bin1111110001011…
…11000100111000
3100012222012212022
413320233010320
5232333012100
621043534012
73164434232
oct770570470
9305865768
10132313400
116876201a
123838a308
132154876b
1413803252
15b938e85
hex7e2f138

132313400 has 48 divisors (see below), whose sum is σ = 312870600. Its totient is φ = 52023680.

The previous prime is 132313373. The next prime is 132313403. The reversal of 132313400 is 4313231.

It is a happy number.

132313400 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6194 + ... + 17406.

Almost surely, 2132313400 is an apocalyptic number.

132313400 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 132313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156435300).

132313400 is an abundant number, since it is smaller than the sum of its proper divisors (180557200).

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

132313400 is a wasteful number, since it uses less digits than its factorization.

132313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132313400 is about 11502.7561914526. The cubic root of 132313400 is about 509.5669783344.

Adding to 132313400 its reverse (4313231), we get a palindrome (136626631).

The spelling of 132313400 in words is "one hundred thirty-two million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 1180 1475 2360 2950 5900 11213 11800 22426 44852 56065 89704 112130 224260 280325 448520 560650 661567 1121300 1323134 2242600 2646268 3307835 5292536 6615670 13231340 16539175 26462680 33078350 66156700 132313400