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680683137 = 32310197673
BaseRepresentation
bin101000100100100…
…110011010000001
31202102211021201120
4220210212122001
52343223330022
6151313222453
722603465641
oct5044463201
91672737646
10680683137
1131a256352
1216bb61a29
13ab037bb4
146658a521
153eb58d5c
hex28926681

680683137 has 16 divisors (see below), whose sum is σ = 956423808. Its totient is φ = 429756800.

The previous prime is 680683127. The next prime is 680683153. The reversal of 680683137 is 731386086.

It is a cyclic number.

It is not a de Polignac number, because 680683137 - 220 = 679634561 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (680683127) by changing a digit.

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, 41868 + ... + 55805.

It is an arithmetic number, because the mean of its divisors is an integer number (59776488).

Almost surely, 2680683137 is an apocalyptic number.

It is an amenable number.

680683137 is a deficient number, since it is larger than the sum of its proper divisors (275740671).

680683137 is a wasteful number, since it uses less digits than its factorization.

680683137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97800.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 680683137 is about 26089.9048867565. The cubic root of 680683137 is about 879.6603100945.

The spelling of 680683137 in words is "six hundred eighty million, six hundred eighty-three thousand, one hundred thirty-seven".

Divisors: 1 3 23 69 101 303 2323 6969 97673 293019 2246479 6739437 9864973 29594919 226894379 680683137