Search a number
-
+
131312544 = 25311124349
BaseRepresentation
bin1111101001110…
…10101110100000
3100011002100221120
413310322232200
5232104000134
621010252240
73153065256
oct764725640
9304070846
10131312544
1168139070
1237b87080
132128803c
14136225d6
15b7dc649
hex7d3aba0

131312544 has 48 divisors (see below), whose sum is σ = 376034400. Its totient is φ = 39791360.

The previous prime is 131312527. The next prime is 131312567. The reversal of 131312544 is 445213131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61119 + ... + 63230.

It is an arithmetic number, because the mean of its divisors is an integer number (7834050).

Almost surely, 2131312544 is an apocalyptic number.

It is an amenable number.

131312544 is an abundant number, since it is smaller than the sum of its proper divisors (244721856).

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

131312544 is a wasteful number, since it uses less digits than its factorization.

131312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124373 (or 124365 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 131312544 is about 11459.1685562261. The cubic root of 131312544 is about 508.2788887553.

Adding to 131312544 its reverse (445213131), we get a palindrome (576525675).

The spelling of 131312544 in words is "one hundred thirty-one million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 124349 248698 373047 497396 746094 994792 1367839 1492188 1989584 2735678 2984376 3979168 4103517 5471356 5968752 8207034 10942712 11937504 16414068 21885424 32828136 43770848 65656272 131312544