Base | Representation |
---|---|
bin | 111011111011010… |
… | …1000000111100000 |
3 | 12012010200200010000 |
4 | 1313312220013200 |
5 | 13104231340200 |
6 | 531310340000 |
7 | 100554410220 |
oct | 16766500740 |
9 | 5163620100 |
10 | 2010808800 |
11 | 94205a460 |
12 | 4814ba600 |
13 | 2607900c0 |
14 | 1510b0080 |
15 | bb7ea300 |
hex | 77da81e0 |
2010808800 has 1440 divisors, whose sum is σ = 10163349504. Its totient is φ = 373248000.
The previous prime is 2010808763. The next prime is 2010808801. The reversal of 2010808800 is 88080102.
2010808800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2010808801) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864785 + ... + 64864815.
Almost surely, 22010808800 is an apocalyptic number.
2010808800 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 2010808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081674752).
2010808800 is an abundant number, since it is smaller than the sum of its proper divisors (8152540704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010808800 is a wasteful number, since it uses less digits than its factorization.
2010808800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 72 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 27.
The square root of 2010808800 is about 44842.0427723805. The cubic root of 2010808800 is about 1262.1866791019.
Adding to 2010808800 its reverse (88080102), we get a palindrome (2098888902).
The spelling of 2010808800 in words is "two billion, ten million, eight hundred eight thousand, eight hundred".
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