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131977844 = 22533731669
BaseRepresentation
bin1111101110111…
…01001001110100
3100012100011120022
413313131021310
5232241242334
621032424312
73161536025
oct767351164
9305304508
10131977844
11685529a9
1238248098
132145bacb
1413756c4c
15b8be82e
hex7ddd274

131977844 has 24 divisors (see below), whose sum is σ = 236091240. Its totient is φ = 64531584.

The previous prime is 131977829. The next prime is 131977847. The reversal of 131977844 is 448779131.

It can be written as a sum of positive squares in 4 ways, for example, as 35545444 + 96432400 = 5962^2 + 9820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131977795 and 131977804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131977847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78242 + ... + 79910.

It is an arithmetic number, because the mean of its divisors is an integer number (9837135).

Almost surely, 2131977844 is an apocalyptic number.

It is an amenable number.

131977844 is a deficient number, since it is larger than the sum of its proper divisors (104113396).

131977844 is a wasteful number, since it uses less digits than its factorization.

131977844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2097 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 131977844 is about 11488.1610364758. The cubic root of 131977844 is about 509.1358478844.

The spelling of 131977844 in words is "one hundred thirty-one million, nine hundred seventy-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 53 106 212 373 746 1492 1669 3338 6676 19769 39538 79076 88457 176914 353828 622537 1245074 2490148 32994461 65988922 131977844