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13083056 = 247199587
BaseRepresentation
bin110001111010…
…000110110000
3220121200120122
4301322012300
511322124211
61144225412
7216130010
oct61720660
926550518
1013083056
117426548
12446b268
132930c6c
141a47c40
1512366db
hexc7a1b0

13083056 has 40 divisors (see below), whose sum is σ = 29164800. Its totient is φ = 5569344.

The previous prime is 13083053. The next prime is 13083071. The reversal of 13083056 is 65038031.

It is not an unprimeable number, because it can be changed into a prime (13083053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21995 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 213083056 is an apocalyptic number.

13083056 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 13083056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582400).

13083056 is an abundant number, since it is smaller than the sum of its proper divisors (16081744).

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

13083056 is a wasteful number, since it uses less digits than its factorization.

13083056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13083056 is about 3617.0507322956. The cubic root of 13083056 is about 235.6331560053.

The spelling of 13083056 in words is "thirteen million, eighty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 587 796 1174 1393 1592 2348 2786 3184 4109 4696 5572 8218 9392 11144 16436 22288 32872 65744 116813 233626 467252 817691 934504 1635382 1869008 3270764 6541528 13083056