Base | Representation |
---|---|
bin | 111011110010101… |
… | …1011011000000000 |
3 | 12011211012121102100 |
4 | 1313211123120000 |
5 | 13102103101120 |
6 | 531025550400 |
7 | 100501161414 |
oct | 16745333000 |
9 | 5154177370 |
10 | 2006300160 |
11 | 93a560007 |
12 | 47baa5400 |
13 | 25c871b77 |
14 | 150658d44 |
15 | bb209490 |
hex | 7795b600 |
2006300160 has 360 divisors, whose sum is σ = 7310407104. Its totient is φ = 507985920.
The previous prime is 2006300159. The next prime is 2006300161. The reversal of 2006300160 is 610036002.
It is a happy number.
2006300160 is a `hidden beast` number, since 20 + 0 + 630 + 0 + 16 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2006300159) and next prime (2006300161).
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2006300161) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37854694 + ... + 37854746.
Almost surely, 22006300160 is an apocalyptic number.
2006300160 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 2006300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655203552).
2006300160 is an abundant number, since it is smaller than the sum of its proper divisors (5304106944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006300160 is an equidigital number, since it uses as much as digits as its factorization.
2006300160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166 (or 94 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2006300160 is about 44791.7420960605. The cubic root of 2006300160 is about 1261.2426138876.
Adding to 2006300160 its reverse (610036002), we get a palindrome (2616336162).
The spelling of 2006300160 in words is "two billion, six million, three hundred thousand, one hundred sixty".
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