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13757056 = 27313467
BaseRepresentation
bin110100011110…
…101010000000
3221212221010121
4310132222000
512010211211
61210510024
7224635015
oct64365200
927787117
1013757056
117846975
124735314
132b08991
141b8170c
15131b271
hexd1ea80

13757056 has 32 divisors (see below), whose sum is σ = 28298880. Its totient is φ = 6654720.

The previous prime is 13757053. The next prime is 13757057. The reversal of 13757056 is 65075731.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13757053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2235 + ... + 5701.

It is an arithmetic number, because the mean of its divisors is an integer number (884340).

Almost surely, 213757056 is an apocalyptic number.

13757056 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 13757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149440).

13757056 is an abundant number, since it is smaller than the sum of its proper divisors (14541824).

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

13757056 is an equidigital number, since it uses as much as digits as its factorization.

13757056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 13757056 is about 3709.0505523651. The cubic root of 13757056 is about 239.6119655527.

The spelling of 13757056 in words is "thirteen million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3467 3968 6934 13868 27736 55472 107477 110944 214954 221888 429908 443776 859816 1719632 3439264 6878528 13757056