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680993946 = 23328144879
BaseRepresentation
bin101000100101110…
…010010010011010
31202110102002002000
4220211302102122
52343313301241
6151324021430
722606232043
oct5045622232
91673362060
10680993946
1131a448916
12170091876
13ab1164c9
146662b8ca
153ebbaeb6
hex2897249a

680993946 has 32 divisors (see below), whose sum is σ = 1518739200. Its totient is φ = 226185120.

The previous prime is 680993909. The next prime is 680993947. The reversal of 680993946 is 649399086.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 680993892 and 680993901.

It is not an unprimeable number, because it can be changed into a prime (680993947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7266 + ... + 37613.

It is an arithmetic number, because the mean of its divisors is an integer number (47460600).

Almost surely, 2680993946 is an apocalyptic number.

680993946 is an abundant number, since it is smaller than the sum of its proper divisors (837745254).

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

680993946 is a wasteful number, since it uses less digits than its factorization.

680993946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45171 (or 45165 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 680993946 is about 26095.8607062499. The cubic root of 680993946 is about 879.7941779318.

The spelling of 680993946 in words is "six hundred eighty million, nine hundred ninety-three thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 281 562 843 1686 2529 5058 7587 15174 44879 89758 134637 269274 403911 807822 1211733 2423466 12610999 25221998 37832997 75665994 113498991 226997982 340496973 680993946