Base | Representation |
---|---|
bin | 10111100111001… |
… | …00100111010000 |
3 | 111210200221011100 |
4 | 23303210213100 |
5 | 401201144223 |
6 | 31353144400 |
7 | 4623361506 |
oct | 1363444720 |
9 | 453627140 |
10 | 198068688 |
11 | a1893a34 |
12 | 563bb100 |
13 | 3205c20c |
14 | 1c43c676 |
15 | 125c7043 |
hex | bce49d0 |
198068688 has 60 divisors (see below), whose sum is σ = 557911588. Its totient is φ = 65594880.
The previous prime is 198068687. The next prime is 198068693. The reversal of 198068688 is 886860891.
198068688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 163635264 = 5868^2 + 12792^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198068681) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18228 + ... + 26988.
Almost surely, 2198068688 is an apocalyptic number.
198068688 is a gapful number since it is divisible by the number (18) 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 198068688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278955794).
198068688 is an abundant number, since it is smaller than the sum of its proper divisors (359842900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198068688 is a wasteful number, since it uses less digits than its factorization.
198068688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8932 (or 8923 counting only the distinct ones).
The product of its (nonzero) digits is 1327104, while the sum is 54.
The square root of 198068688 is about 14073.6877896307. The cubic root of 198068688 is about 582.9150589179.
The spelling of 198068688 in words is "one hundred ninety-eight million, sixty-eight thousand, six hundred eighty-eight".
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