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6855968 = 257127241
BaseRepresentation
bin11010001001110100100000
3110220022121202
4122021310200
53223342333
6402540332
7112163150
oct32116440
913808552
106855968
113962a99
1223676a8
1315607b2
14ca6760
159065e8
hex689d20

6855968 has 48 divisors (see below), whose sum is σ = 15611904. Its totient is φ = 2903040.

The previous prime is 6855967. The next prime is 6855971. The reversal of 6855968 is 8695586.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6855967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28328 + ... + 28568.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 26855968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805952).

6855968 is an abundant number, since it is smaller than the sum of its proper divisors (8755936).

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

6855968 is a wasteful number, since it uses less digits than its factorization.

6855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its digits is 518400, while the sum is 47.

The square root of 6855968 is about 2618.3903452312. The cubic root of 6855968 is about 189.9719995672.

The spelling of 6855968 in words is "six million, eight hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 241 254 482 508 889 964 1016 1687 1778 1928 2032 3374 3556 3856 4064 6748 7112 7712 13496 14224 26992 28448 30607 53984 61214 122428 214249 244856 428498 489712 856996 979424 1713992 3427984 6855968