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131895904 = 2571075503
BaseRepresentation
bin1111101110010…
…01001001100000
3100012012000011111
413313021021200
5232231132104
621030553104
73161045110
oct767111140
9305160144
10131895904
11684a7388
1238208794
132143071a
1413735040
15b8a5404
hex7dc9260

131895904 has 48 divisors (see below), whose sum is σ = 299593728. Its totient is φ = 55988352.

The previous prime is 131895817. The next prime is 131895923. The reversal of 131895904 is 409598131.

It is a congruent number.

It is an unprimeable number.

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, 21217 + ... + 26719.

It is an arithmetic number, because the mean of its divisors is an integer number (6241536).

Almost surely, 2131895904 is an apocalyptic number.

131895904 is a gapful number since it is divisible by the number (14) 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 131895904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149796864).

131895904 is an abundant number, since it is smaller than the sum of its proper divisors (167697824).

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

131895904 is a wasteful number, since it uses less digits than its factorization.

131895904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 131895904 is about 11484.5942026699. The cubic root of 131895904 is about 509.0304584066.

The spelling of 131895904 in words is "one hundred thirty-one million, eight hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5503 5992 11006 11984 22012 23968 38521 44024 77042 88048 154084 176096 308168 588821 616336 1177642 1232672 2355284 4121747 4710568 8243494 9421136 16486988 18842272 32973976 65947952 131895904