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131506056 = 233211166043
BaseRepresentation
bin1111101011010…
…01111110001000
3100011110012101200
413311221332020
5232131143211
621014344200
73154532403
oct765517610
9304405350
10131506056
11682604a0
123805b060
1321325146
1413672d3a
15b829b56
hex7d69f88

131506056 has 48 divisors (see below), whose sum is σ = 388542960. Its totient is φ = 39850080.

The previous prime is 131506043. The next prime is 131506099. The reversal of 131506056 is 650605131.

It is a happy number.

131506056 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 605 + 6 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82230 + ... + 83813.

It is an arithmetic number, because the mean of its divisors is an integer number (8094645).

Almost surely, 2131506056 is an apocalyptic number.

It is an amenable number.

131506056 is an abundant number, since it is smaller than the sum of its proper divisors (257036904).

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

131506056 is a wasteful number, since it uses less digits than its factorization.

131506056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166066 (or 166059 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 131506056 is about 11467.6089922878. The cubic root of 131506056 is about 508.5284454869.

The spelling of 131506056 in words is "one hundred thirty-one million, five hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 166043 332086 498129 664172 996258 1328344 1494387 1826473 1992516 2988774 3652946 3985032 5479419 5977548 7305892 10958838 11955096 14611784 16438257 21917676 32876514 43835352 65753028 131506056