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131479668 = 223226913577
BaseRepresentation
bin1111101011000…
…11100001110100
3100011101212012100
413311203201310
5232124322133
621014022100
73154362435
oct765434164
9304355170
10131479668
1168242691
1238047930
1321316128
141366748c
15b821e13
hex7d63874

131479668 has 36 divisors (see below), whose sum is σ = 333611460. Its totient is φ = 43660416.

The previous prime is 131479657. The next prime is 131479669. The reversal of 131479668 is 866974131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 61121124 = 8388^2 + 7818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131479669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2896 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (9266985).

Almost surely, 2131479668 is an apocalyptic number.

131479668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131479668 is an abundant number, since it is smaller than the sum of its proper divisors (202131792).

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

131479668 is a wasteful number, since it uses less digits than its factorization.

131479668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856 (or 13851 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 131479668 is about 11466.4583895813. The cubic root of 131479668 is about 508.4944294456.

The spelling of 131479668 in words is "one hundred thirty-one million, four hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 13577 27154 40731 54308 81462 122193 162924 244386 488772 3652213 7304426 10956639 14608852 21913278 32869917 43826556 65739834 131479668