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6680256 = 263113163
BaseRepresentation
bin11001011110111011000000
3110120101120220
4121132323000
53202232011
6355103040
7110531652
oct31367300
913511526
106680256
113852a80
1222a1a80
1314cb81b
14c5c6d2
158be506
hex65eec0

6680256 has 56 divisors (see below), whose sum is σ = 19287744. Its totient is φ = 2023680.

The previous prime is 6680249. The next prime is 6680273. The reversal of 6680256 is 6520866.

6680256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (344424).

Almost surely, 26680256 is an apocalyptic number.

6680256 is a gapful number since it is divisible by the number (66) 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 6680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9643872).

6680256 is an abundant number, since it is smaller than the sum of its proper divisors (12607488).

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

6680256 is a wasteful number, since it uses less digits than its factorization.

6680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 6680256 is about 2584.6191208764. The cubic root of 6680256 is about 188.3349995067.

The spelling of 6680256 in words is "six million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 3163 6326 9489 12652 18978 25304 34793 37956 50608 69586 75912 101216 104379 139172 151824 202432 208758 278344 303648 417516 556688 607296 835032 1113376 1670064 2226752 3340128 6680256