Base | Representation |
---|---|
bin | 1001110110001101… |
… | …1101110011010100 |
3 | 20211012212120101111 |
4 | 2131203131303110 |
5 | 20403142220040 |
6 | 1114143304404 |
7 | 122334564235 |
oct | 23543356324 |
9 | 6735776344 |
10 | 2643320020 |
11 | 11370a3500 |
12 | 6192ab104 |
13 | 33182c9b3 |
14 | 1b10bb08c |
15 | 1070dadea |
hex | 9d8ddcd4 |
2643320020 has 72 divisors (see below), whose sum is σ = 6250532904. Its totient is φ = 937728000.
The previous prime is 2643319969. The next prime is 2643320027. The reversal of 2643320020 is 200233462.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 133911184 + 2509408836 = 11572^2 + 50094^2 .
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 2643319973 and 2643320000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2643320027) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85900 + ... + 112540.
It is an arithmetic number, because the mean of its divisors is an integer number (86812957).
Almost surely, 22643320020 is an apocalyptic number.
2643320020 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 2643320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125266452).
2643320020 is an abundant number, since it is smaller than the sum of its proper divisors (3607212884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2643320020 is a wasteful number, since it uses less digits than its factorization.
2643320020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26713 (or 26700 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
The square root of 2643320020 is about 51413.2280643805. The cubic root of 2643320020 is about 1382.6637655117.
Adding to 2643320020 its reverse (200233462), we get a palindrome (2843553482).
The spelling of 2643320020 in words is "two billion, six hundred forty-three million, three hundred twenty thousand, twenty".
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