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131560016 = 2477316091
BaseRepresentation
bin1111101011101…
…11001001010000
3100011112221102012
413311313021100
5232134410031
621015442052
73155145620
oct765671120
9304487365
10131560016
1168297a95
1238086328
1321343883
1413688880
15b83ab2b
hex7d77250

131560016 has 40 divisors (see below), whose sum is σ = 295320384. Its totient is φ = 55607040.

The previous prime is 131560007. The next prime is 131560019. The reversal of 131560016 is 610065131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131559973 and 131560000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131560019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131 + ... + 16221.

Almost surely, 2131560016 is an apocalyptic number.

131560016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131560016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147660192).

131560016 is an abundant number, since it is smaller than the sum of its proper divisors (163760368).

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

131560016 is a wasteful number, since it uses less digits than its factorization.

131560016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16179 (or 16173 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 131560016 is about 11469.9614646258. The cubic root of 131560016 is about 508.5979896673.

The spelling of 131560016 in words is "one hundred thirty-one million, five hundred sixty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 4088 8176 16091 32182 64364 112637 128728 225274 257456 450548 901096 1174643 1802192 2349286 4698572 8222501 9397144 16445002 18794288 32890004 65780008 131560016