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6865056 = 2532112197
BaseRepresentation
bin11010001100000010100000
3110220210002100
4122030002200
53224140211
6403050400
7112231512
oct32140240
913823070
106865056
113969900
122370a00
131564983
14ca9bb2
15909156
hex68c0a0

6865056 has 108 divisors (see below), whose sum is σ = 21567546. Its totient is φ = 2069760.

The previous prime is 6865051. The next prime is 6865057. The reversal of 6865056 is 6505686.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 2944656 = 1980^2 + 1716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6865056.

It is not an unprimeable number, because it can be changed into a prime (6865051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34750 + ... + 34946.

Almost surely, 26865056 is an apocalyptic number.

6865056 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 6865056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10783773).

6865056 is an abundant number, since it is smaller than the sum of its proper divisors (14702490).

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

6865056 is a wasteful number, since it uses less digits than its factorization.

6865056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6865056 is about 2620.1251878489. The cubic root of 6865056 is about 190.0559022949.

The spelling of 6865056 in words is "six million, eight hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 197 198 242 264 288 352 363 394 396 484 528 591 726 788 792 968 1056 1089 1182 1452 1576 1584 1773 1936 2167 2178 2364 2904 3152 3168 3546 3872 4334 4356 4728 5808 6304 6501 7092 8668 8712 9456 11616 13002 14184 17336 17424 18912 19503 23837 26004 28368 34672 34848 39006 47674 52008 56736 69344 71511 78012 95348 104016 143022 156024 190696 208032 214533 286044 312048 381392 429066 572088 624096 762784 858132 1144176 1716264 2288352 3432528 6865056