Base | Representation |
---|---|
bin | 11000101011001… |
… | …01001111100000 |
3 | 112102110212220000 |
4 | 30111211033200 |
5 | 410441443120 |
6 | 32312220000 |
7 | 5062223235 |
oct | 1425451740 |
9 | 472425800 |
10 | 206984160 |
11 | a6923299 |
12 | 5939a600 |
13 | 33b61246 |
14 | 1d6bd78c |
15 | 13288990 |
hex | c5653e0 |
206984160 has 120 divisors (see below), whose sum is σ = 730527336. Its totient is φ = 55192320.
The previous prime is 206984159. The next prime is 206984161. The reversal of 206984160 is 61489602.
206984160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (206984159) and next prime (206984161).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (206984161) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 4975 + ... + 20945.
Almost surely, 2206984160 is an apocalyptic number.
206984160 is a gapful number since it is divisible by the number (20) 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 206984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365263668).
206984160 is an abundant number, since it is smaller than the sum of its proper divisors (523543176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206984160 is a wasteful number, since it uses less digits than its factorization.
206984160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15998 (or 15981 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 206984160 is about 14386.9440813538. The cubic root of 206984160 is about 591.5330808203.
The spelling of 206984160 in words is "two hundred six million, nine hundred eighty-four thousand, one hundred sixty".
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