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6805168 = 2417127197
BaseRepresentation
bin11001111101011010110000
3110210201221021
4121331122300
53220231133
6401505224
7111562066
oct31753260
913721837
106805168
113928907
122342214
131543636
14c92036
158e652d
hex67d6b0

6805168 has 40 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 3161088.

The previous prime is 6805163. The next prime is 6805181. The reversal of 6805168 is 8615086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (6805163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34446 + ... + 34642.

Almost surely, 26805168 is an apocalyptic number.

6805168 is a gapful number since it is divisible by the number (68) 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 6805168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

6805168 is an abundant number, since it is smaller than the sum of its proper divisors (7336784).

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

6805168 is a wasteful number, since it uses less digits than its factorization.

6805168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 6805168 is about 2608.6716926436. The cubic root of 6805168 is about 189.5016302076.

The spelling of 6805168 in words is "six million, eight hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 127 136 197 254 272 394 508 788 1016 1576 2032 2159 3152 3349 4318 6698 8636 13396 17272 25019 26792 34544 50038 53584 100076 200152 400304 425323 850646 1701292 3402584 6805168