Base | Representation |
---|---|
bin | 11000100100100… |
… | …00000000000000 |
3 | 112100211111202101 |
4 | 30102100000000 |
5 | 410231020340 |
6 | 32241400144 |
7 | 5051624614 |
oct | 1422200000 |
9 | 470744671 |
10 | 206110720 |
11 | a6387042 |
12 | 59039054 |
13 | 3391680a |
14 | 1d533344 |
15 | 13164c9a |
hex | c490000 |
206110720 has 136 divisors (see below), whose sum is σ = 537915384. Its totient is φ = 75497472.
The previous prime is 206110711. The next prime is 206110769. The reversal of 206110720 is 27011602.
It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 121176064 = 9216^2 + 11008^2 .
It is a tau number, because it is divible by the number of its divisors (136).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5570542 + ... + 5570578.
Almost surely, 2206110720 is an apocalyptic number.
206110720 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 206110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268957692).
206110720 is an abundant number, since it is smaller than the sum of its proper divisors (331804664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206110720 is an frugal number, since it uses more digits than its factorization.
206110720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 61 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 19.
The square root of 206110720 is about 14356.5566902374. The cubic root of 206110720 is about 590.6998494019.
The spelling of 206110720 in words is "two hundred six million, one hundred ten thousand, seven hundred twenty".
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