Search a number
-
+
131925584 = 2473137997
BaseRepresentation
bin1111101110100…
…00011001010000
3100012020111212202
413313100121100
5232233104314
621031342332
73161230460
oct767203120
9305214782
10131925584
116851770a
12382219a8
132144109b
1413741ba0
15b8ae0de
hex7dd0650

131925584 has 40 divisors (see below), whose sum is σ = 301552128. Its totient is φ = 54714240.

The previous prime is 131925571. The next prime is 131925589. The reversal of 131925584 is 485529131.

It is a happy number.

131925584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131925589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15527 + ... + 22470.

Almost surely, 2131925584 is an apocalyptic number.

131925584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131925584 is an abundant number, since it is smaller than the sum of its proper divisors (169626544).

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

131925584 is a wasteful number, since it uses less digits than its factorization.

131925584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38043 (or 38037 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 131925584 is about 11485.8862957980. The cubic root of 131925584 is about 509.0686372291.

The spelling of 131925584 in words is "one hundred thirty-one million, nine hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 37997 75994 151988 265979 303976 531958 607952 1063916 1177907 2127832 2355814 4255664 4711628 8245349 9423256 16490698 18846512 32981396 65962792 131925584