Base | Representation |
---|---|
bin | 10111101000111… |
… | …11001110000000 |
3 | 111211011010110000 |
4 | 23310133032000 |
5 | 401231334421 |
6 | 31402240000 |
7 | 4625411403 |
oct | 1364371600 |
9 | 454133400 |
10 | 198308736 |
11 | a1a3831a |
12 | 564b6000 |
13 | 32114562 |
14 | 1c4a1d3a |
15 | 12623226 |
hex | bd1f380 |
198308736 has 160 divisors (see below), whose sum is σ = 610188480. Its totient is φ = 63866880.
The previous prime is 198308731. The next prime is 198308777. The reversal of 198308736 is 637803891.
It is a happy number.
198308736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 198308691 and 198308700.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198308731) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321100 + ... + 321716.
It is an arithmetic number, because the mean of its divisors is an integer number (3813678).
Almost surely, 2198308736 is an apocalyptic number.
198308736 is a gapful number since it is divisible by the number (16) 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 198308736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305094240).
198308736 is an abundant number, since it is smaller than the sum of its proper divisors (411879744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198308736 is an equidigital number, since it uses as much as digits as its factorization.
198308736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 674 (or 653 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 198308736 is about 14082.2134623787. The cubic root of 198308736 is about 583.1504504974.
The spelling of 198308736 in words is "one hundred ninety-eight million, three hundred eight thousand, seven hundred thirty-six".
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