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131956785 = 3252932373
BaseRepresentation
bin1111101110110…
…00000000110001
3100012022002200100
413313120000301
5232240104120
621032143013
73161420442
oct767300061
9305262610
10131956785
11685390a4
1238237a69
132145234c
141374d2c9
15b8b8490
hex7dd8031

131956785 has 12 divisors (see below), whose sum is σ = 228725172. Its totient is φ = 70376928.

The previous prime is 131956751. The next prime is 131956789. The reversal of 131956785 is 587659131.

It is a happy number.

131956785 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 567 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44515584 + 87441201 = 6672^2 + 9351^2 .

It is not a de Polignac number, because 131956785 - 28 = 131956529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2932373 = 131956785 / (1 + 3 + 1 + 9 + 5 + 6 + 7 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 131956785.

It is not an unprimeable number, because it can be changed into a prime (131956789) 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 11 ways as a sum of consecutive naturals, for example, 1466142 + ... + 1466231.

It is an arithmetic number, because the mean of its divisors is an integer number (19060431).

Almost surely, 2131956785 is an apocalyptic number.

131956785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131956785 is a deficient number, since it is larger than the sum of its proper divisors (96768387).

131956785 is a wasteful number, since it uses less digits than its factorization.

131956785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932384 (or 2932381 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 131956785 is about 11487.2444476471. The cubic root of 131956785 is about 509.1087664142.

The spelling of 131956785 in words is "one hundred thirty-one million, nine hundred fifty-six thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 2932373 8797119 14661865 26391357 43985595 131956785