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13147056 = 2433132341
BaseRepresentation
bin110010001001…
…101110110000
3220201221101000
4302021232300
511331201211
61145442000
7216514416
oct62115660
926657330
1013147056
11746a63a
1244a0300
132954130
141a632b6
15124a656
hexc89bb0

13147056 has 80 divisors (see below), whose sum is σ = 40657120. Its totient is φ = 4043520.

The previous prime is 13147051. The next prime is 13147061. The reversal of 13147056 is 65074131.

It is an interprime number because it is at equal distance from previous prime (13147051) and next prime (13147061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13147051) 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 15 ways as a sum of consecutive naturals, for example, 4446 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (508214).

Almost surely, 213147056 is an apocalyptic number.

13147056 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 13147056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328560).

13147056 is an abundant number, since it is smaller than the sum of its proper divisors (27510064).

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

13147056 is a wasteful number, since it uses less digits than its factorization.

13147056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13147056 is about 3625.8869259810. The cubic root of 13147056 is about 236.0167564469.

The spelling of 13147056 in words is "thirteen million, one hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2341 2808 4682 5616 7023 9364 14046 18728 21069 28092 30433 37456 42138 56184 60866 63207 84276 91299 112368 121732 126414 168552 182598 243464 252828 273897 337104 365196 486928 505656 547794 730392 821691 1011312 1095588 1460784 1643382 2191176 3286764 4382352 6573528 13147056