Base | Representation |
---|---|
bin | 10011100010101… |
… | …01111110010000 |
3 | 102102110111200111 |
4 | 21301111332100 |
5 | 313431230000 |
6 | 24133331104 |
7 | 4030245013 |
oct | 1161257620 |
9 | 372414614 |
10 | 163930000 |
11 | 84597043 |
12 | 46a96a94 |
13 | 27c68500 |
14 | 17ab337a |
15 | e5d1cba |
hex | 9c55f90 |
163930000 has 150 divisors (see below), whose sum is σ = 434200074. Its totient is φ = 59904000.
The previous prime is 163929991. The next prime is 163930049. The reversal of 163930000 is 39361.
163930000 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 15 ways, for example, as 148937616 + 14992384 = 12204^2 + 3872^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1689952 + ... + 1690048.
Almost surely, 2163930000 is an apocalyptic number.
163930000 is a gapful number since it is divisible by the number (10) 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 163930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217100037).
163930000 is an abundant number, since it is smaller than the sum of its proper divisors (270270074).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163930000 is an equidigital number, since it uses as much as digits as its factorization.
163930000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 151 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 22.
The square root of 163930000 is about 12803.5151423349. The cubic root of 163930000 is about 547.2924784992.
Adding to 163930000 its reverse (39361), we get a palindrome (163969361).
The spelling of 163930000 in words is "one hundred sixty-three million, nine hundred thirty thousand".
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