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680795136 = 21032761173
BaseRepresentation
bin101000100101000…
…001110000000000
31202110000222100200
4220211001300000
52343240421021
6151315445200
722604443320
oct5045016000
91673028320
10680795136
1131a32250a
1216bbb6800
13ab076b78
14665b9280
153eb7c126
hex28941c00

680795136 has 264 divisors, whose sum is σ = 2296635744. Its totient is φ = 190218240.

The previous prime is 680795131. The next prime is 680795149. The reversal of 680795136 is 631597086.

It is a happy number.

680795136 is a `hidden beast` number, since 68 + 0 + 79 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680795091 and 680795100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680795131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3935146 + ... + 3935318.

Almost surely, 2680795136 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 680795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148317872).

680795136 is an abundant number, since it is smaller than the sum of its proper divisors (1615840608).

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

680795136 is a wasteful number, since it uses less digits than its factorization.

680795136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 680795136 is about 26092.0512033838. The cubic root of 680795136 is about 879.7085536245.

The spelling of 680795136 in words is "six hundred eighty million, seven hundred ninety-five thousand, one hundred thirty-six".