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13082256 = 2433112753
BaseRepresentation
bin110001111001…
…111010010000
3220121122111000
4301321322100
511322113011
61144222000
7216124455
oct61717220
926548430
1013082256
117425990
12446a900
1329307a5
141a4782c
151236356
hexc79e90

13082256 has 80 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 3962880.

The previous prime is 13082249. The next prime is 13082261. The reversal of 13082256 is 65228031.

13082256 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130822562 = 342290844099072, which contains 22 as substring.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376 + ... + 6128.

It is an arithmetic number, because the mean of its divisors is an integer number (512244).

Almost surely, 213082256 is an apocalyptic number.

13082256 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 13082256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

13082256 is an abundant number, since it is smaller than the sum of its proper divisors (27897264).

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

13082256 is a wasteful number, since it uses less digits than its factorization.

13082256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13082256 is about 3616.9401432703. The cubic root of 13082256 is about 235.6283530916.

The spelling of 13082256 in words is "thirteen million, eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 2753 4752 5506 8259 11012 16518 22024 24777 30283 33036 44048 49554 60566 66072 74331 90849 99108 121132 132144 148662 181698 198216 242264 272547 297324 363396 396432 484528 545094 594648 726792 817641 1090188 1189296 1453584 1635282 2180376 3270564 4360752 6541128 13082256