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680803074 = 232719128289
BaseRepresentation
bin101000100101000…
…011101100000010
31202110001101020200
4220211003230002
52343241144244
6151315550030
722604505420
oct5045035402
91673041220
10680803074
1131a328476
1216bbbb316
13ab07a673
14665bc110
153eb7e669
hex28943b02

680803074 has 48 divisors (see below), whose sum is σ = 1694684160. Its totient is φ = 193489920.

The previous prime is 680803021. The next prime is 680803091. The reversal of 680803074 is 470308086.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9922 + ... + 38210.

It is an arithmetic number, because the mean of its divisors is an integer number (35305920).

Almost surely, 2680803074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680803074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847342080).

680803074 is an abundant number, since it is smaller than the sum of its proper divisors (1013881086).

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

680803074 is a wasteful number, since it uses less digits than its factorization.

680803074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28495 (or 28492 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 680803074 is about 26092.2033182328. The cubic root of 680803074 is about 879.7119727145.

The spelling of 680803074 in words is "six hundred eighty million, eight hundred three thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 191 382 573 1146 1337 1719 2674 3438 4011 8022 12033 24066 28289 56578 84867 169734 198023 254601 396046 509202 594069 1188138 1782207 3564414 5403199 10806398 16209597 32419194 37822393 48628791 75644786 97257582 113467179 226934358 340401537 680803074