Search a number
-
+
131972508 = 22323665903
BaseRepresentation
bin1111101110110…
…11110110011100
3100012022220020200
413313123312130
5232241110013
621032343500
73161514333
oct767336634
9305286220
10131972508
1168549998
1238244b90
1321459555
1413754d1a
15b8bce73
hex7ddbd9c

131972508 has 18 divisors (see below), whose sum is σ = 333597264. Its totient is φ = 43990824.

The previous prime is 131972507. The next prime is 131972521. The reversal of 131972508 is 805279131.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3665903 = 131972508 / (1 + 3 + 1 + 9 + 7 + 2 + 5 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131972501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1832916 + ... + 1832987.

Almost surely, 2131972508 is an apocalyptic number.

131972508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131972508 is an abundant number, since it is smaller than the sum of its proper divisors (201624756).

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

131972508 is a wasteful number, since it uses less digits than its factorization.

131972508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665913 (or 3665908 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131972508 is about 11487.9287950440. The cubic root of 131972508 is about 509.1289861633.

The spelling of 131972508 in words is "one hundred thirty-one million, nine hundred seventy-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 3665903 7331806 10997709 14663612 21995418 32993127 43990836 65986254 131972508