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680593368 = 2337131723797
BaseRepresentation
bin101000100100010…
…000011111011000
31202102122201120210
4220210100133120
52343212441433
6151311251120
722602643140
oct5044203730
91672581523
10680593368
1131a1a4964
1216bb19aa0
13ab006090
1466565920
153eb3c463
hex289107d8

680593368 has 256 divisors, whose sum is σ = 2316625920. Its totient is φ = 161390592.

The previous prime is 680593367. The next prime is 680593421. The reversal of 680593368 is 863395086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680593363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853546 + ... + 854342.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2680593368 is an apocalyptic number.

680593368 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 680593368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

680593368 is an abundant number, since it is smaller than the sum of its proper divisors (1636032552).

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

680593368 is a wasteful number, since it uses less digits than its factorization.

680593368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 680593368 is about 26088.1844519698. The cubic root of 680593368 is about 879.6216383084.

The spelling of 680593368 in words is "six hundred eighty million, five hundred ninety-three thousand, three hundred sixty-eight".