Search a number
-
+
131395272 = 23343127321
BaseRepresentation
bin1111101010011…
…10111011001000
3100011020120102120
413311032323020
5232114122042
621012131240
73153561411
oct765167310
9304216376
10131395272
1168195238
1238006b20
13212b68a8
1413644808
15b806dec
hex7d4eec8

131395272 has 32 divisors (see below), whose sum is σ = 336130080. Its totient is φ = 42779520.

The previous prime is 131395223. The next prime is 131395273. The reversal of 131395272 is 272593131.

It is not an unprimeable number, because it can be changed into a prime (131395273) 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, 62629 + ... + 64692.

It is an arithmetic number, because the mean of its divisors is an integer number (10504065).

Almost surely, 2131395272 is an apocalyptic number.

131395272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131395272 is an abundant number, since it is smaller than the sum of its proper divisors (204734808).

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

131395272 is a wasteful number, since it uses less digits than its factorization.

131395272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127373 (or 127369 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 131395272 is about 11462.7776738450. Note that the first 3 decimals coincide. The cubic root of 131395272 is about 508.3856063298.

It can be divided in two parts, 13 and 1395272, that added together give a triangular number (1395285 = T1670).

The spelling of 131395272 in words is "one hundred thirty-one million, three hundred ninety-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 127321 254642 381963 509284 763926 1018568 1527852 3055704 5474803 10949606 16424409 21899212 32848818 43798424 65697636 131395272