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131908 = 2272673
BaseRepresentation
bin100000001101000100
320200221111
4200031010
513210113
62454404
71056400
oct401504
9220844
10131908
1190117
1264404
134806a
1436100
152913d
hex20344

131908 has 18 divisors (see below), whose sum is σ = 268926. Its totient is φ = 56448.

The previous prime is 131899. The next prime is 131909. The reversal of 131908 is 809131.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 28224 = 322^2 + 168^2 .

It is not an unprimeable number, because it can be changed into a prime (131909) by changing a digit.

131908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 532.

2131908 is an apocalyptic number.

It is an amenable number.

131908 is an abundant number, since it is smaller than the sum of its proper divisors (137018).

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

131908 is a wasteful number, since it uses less digits than its factorization.

131908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 131908 is about 363.1914095900. The cubic root of 131908 is about 50.9046018769.

The spelling of 131908 in words is "one hundred thirty-one thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 49 98 196 673 1346 2692 4711 9422 18844 32977 65954 131908