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131961366 = 2332443729
BaseRepresentation
bin1111101110110…
…01001000010110
3100012022022222000
413313121020112
5232240230431
621032220130
73161440005
oct767311026
9305268860
10131961366
1168541589
123823a646
1321454464
1413750c3c
15b8b99e6
hex7dd9216

131961366 has 16 divisors (see below), whose sum is σ = 293247600. Its totient is φ = 43987104.

The previous prime is 131961353. The next prime is 131961407. The reversal of 131961366 is 663169131.

131961366 is a `hidden beast` number, since 1 + 31 + 9 + 613 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131961366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221811 + ... + 1221918.

It is an arithmetic number, because the mean of its divisors is an integer number (18327975).

Almost surely, 2131961366 is an apocalyptic number.

131961366 is an abundant number, since it is smaller than the sum of its proper divisors (161286234).

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

131961366 is a wasteful number, since it uses less digits than its factorization.

131961366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443740 (or 2443734 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 131961366 is about 11487.4438409944. The cubic root of 131961366 is about 509.1146577376.

The spelling of 131961366 in words is "one hundred thirty-one million, nine hundred sixty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 2443729 4887458 7331187 14662374 21993561 43987122 65980683 131961366