Base | Representation |
---|---|
bin | 101000100011111… |
… | …001001111000000 |
3 | 1202102110212220210 |
4 | 220203321033000 |
5 | 2343201414422 |
6 | 151305234120 |
7 | 22602065340 |
oct | 5043711700 |
9 | 1672425823 |
10 | 680498112 |
11 | 31a13a338 |
12 | 16ba92940 |
13 | aaca1908 |
14 | 6653cd20 |
15 | 3eb1e10c |
hex | 288f93c0 |
680498112 has 112 divisors (see below), whose sum is σ = 2124204032. Its totient is φ = 188144640.
The previous prime is 680498107. The next prime is 680498141. The reversal of 680498112 is 211894086.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is an unprimeable number.
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, 33498 + ... + 49830.
Almost surely, 2680498112 is an apocalyptic number.
680498112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 680498112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062102016).
680498112 is an abundant number, since it is smaller than the sum of its proper divisors (1443705920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
680498112 is a wasteful number, since it uses less digits than its factorization.
680498112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16386 (or 16376 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 39.
The square root of 680498112 is about 26086.3587340204. The cubic root of 680498112 is about 879.5805990467.
The spelling of 680498112 in words is "six hundred eighty million, four hundred ninety-eight thousand, one hundred twelve".
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