Search a number
-
+
680068068 = 223174337699
BaseRepresentation
bin101000100010010…
…000001111100100
31202101200001000020
4220202100033210
52343044134233
6151252115140
722565324511
oct5042201744
91671601006
10680068068
11319976229
1216b905ab0
13aab80c54
146646a308
153ea869b3
hex288903e4

680068068 has 48 divisors (see below), whose sum is σ = 1684267200. Its totient is φ = 212834304.

The previous prime is 680068021. The next prime is 680068087. The reversal of 680068068 is 860860086.

It is a super-2 number, since 2×6800680682 = 924985154226505248, which contains 22 as substring.

680068068 is a modest number, since divided by 68068 gives 680 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84483 + ... + 92181.

It is an arithmetic number, because the mean of its divisors is an integer number (35088900).

Almost surely, 2680068068 is an apocalyptic number.

680068068 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 680068068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842133600).

680068068 is an abundant number, since it is smaller than the sum of its proper divisors (1004199132).

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

680068068 is a wasteful number, since it uses less digits than its factorization.

680068068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8154 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 680068068 is about 26078.1147324725. The cubic root of 680068068 is about 879.3952749627.

The spelling of 680068068 in words is "six hundred eighty million, sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 433 866 1299 1732 2598 5196 7361 7699 14722 15398 22083 23097 29444 30796 44166 46194 88332 92388 130883 261766 392649 523532 785298 1570596 3333667 6667334 10001001 13334668 20002002 40004004 56672339 113344678 170017017 226689356 340034034 680068068