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685760688 = 24331793377
BaseRepresentation
bin101000110111111…
…110000010110000
31202210101020211000
4220313332002300
52401023320223
6152014122000
722664604204
oct5067760260
91683336730
10685760688
11322104178
121717b0300
13ac0c5072
146710cb04
154030d543
hex28dfe0b0

685760688 has 80 divisors (see below), whose sum is σ = 2084196960. Its totient is φ = 215138304.

The previous prime is 685760687. The next prime is 685760731. The reversal of 685760688 is 886067586.

685760688 is a `hidden beast` number, since 6 + 8 + 576 + 0 + 68 + 8 = 666.

685760688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (685760687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39345 + ... + 54032.

It is an arithmetic number, because the mean of its divisors is an integer number (26052462).

Almost surely, 2685760688 is an apocalyptic number.

685760688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

685760688 is an abundant number, since it is smaller than the sum of its proper divisors (1398436272).

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

685760688 is a wasteful number, since it uses less digits than its factorization.

685760688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93411 (or 93399 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 685760688 is about 26187.0328216085. The cubic root of 685760688 is about 881.8421671392.

The spelling of 685760688 in words is "six hundred eighty-five million, seven hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 93377 186754 280131 373508 560262 747016 840393 1120524 1494032 1587409 1680786 2241048 2521179 3174818 3361572 4482096 4762227 5042358 6349636 6723144 9524454 10084716 12699272 13446288 14286681 19048908 20169432 25398544 28573362 38097816 40338864 42860043 57146724 76195632 85720086 114293448 171440172 228586896 342880344 685760688