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680812704 = 2532111361271
BaseRepresentation
bin101000100101000…
…110000010100000
31202110001212110100
4220211012002200
52343242001304
6151320102400
722604545455
oct5045060240
91673055410
10680812704
1131a334730
12170004a00
13ab081b70
14665c182c
153eb82439
hex289460a0

680812704 has 288 divisors, whose sum is σ = 2320351488. Its totient is φ = 186624000.

The previous prime is 680812697. The next prime is 680812739. The reversal of 680812704 is 407218086.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512089 + ... + 2512359.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 2680812704 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 680812704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160175744).

680812704 is an abundant number, since it is smaller than the sum of its proper divisors (1639538784).

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

680812704 is a wasteful number, since it uses less digits than its factorization.

680812704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 680812704 is about 26092.3878554647. The cubic root of 680812704 is about 879.7161205543.

The spelling of 680812704 in words is "six hundred eighty million, eight hundred twelve thousand, seven hundred four".