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131055696 = 2432910109
BaseRepresentation
bin1111100111111…
…00000001010000
3100010121022121200
413303330001100
5232022240241
621000551200
73150645402
oct763740120
9303538550
10131055696
1167a830a2
1237a82500
13211c8165
1413596b72
15b78b4b6
hex7cfc050

131055696 has 30 divisors (see below), whose sum is σ = 366774330. Its totient is φ = 43685184.

The previous prime is 131055667. The next prime is 131055709. The reversal of 131055696 is 696550131.

131055696 is a `hidden beast` number, since 1 + 3 + 10 + 556 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122412096 + 8643600 = 11064^2 + 2940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131055696.

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 5 ways as a sum of consecutive naturals, for example, 454911 + ... + 455198.

It is an arithmetic number, because the mean of its divisors is an integer number (12225811).

Almost surely, 2131055696 is an apocalyptic number.

131055696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131055696 is an abundant number, since it is smaller than the sum of its proper divisors (235718634).

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

131055696 is a wasteful number, since it uses less digits than its factorization.

131055696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910123 (or 910114 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 131055696 is about 11447.9559747581. The cubic root of 131055696 is about 507.9472737555.

The spelling of 131055696 in words is "one hundred thirty-one million, fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 910109 1820218 2730327 3640436 5460654 7280872 8190981 10921308 14561744 16381962 21842616 32763924 43685232 65527848 131055696