Base | Representation |
---|---|
bin | 111101000111101111100 |
3 | 10202202100020 |
4 | 13220331330 |
5 | 1003042222 |
6 | 110532140 |
7 | 23011050 |
oct | 7507574 |
9 | 3682306 |
10 | 2002812 |
11 | 1148819 |
12 | 807050 |
13 | 5517c6 |
14 | 3a1c60 |
15 | 29865c |
hex | 1e8f7c |
2002812 has 48 divisors (see below), whose sum is σ = 5413632. Its totient is φ = 564480.
The previous prime is 2002807. The next prime is 2002823. The reversal of 2002812 is 2182002.
It is a super-2 number, since 2×20028122 = 8022511814688, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2002791 and 2002800.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9387 + ... + 9597.
It is an arithmetic number, because the mean of its divisors is an integer number (112784).
22002812 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706816).
2002812 is an abundant number, since it is smaller than the sum of its proper divisors (3410820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002812 is a wasteful number, since it uses less digits than its factorization.
2002812 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 338 (or 336 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 2002812 is about 1415.2074052944. The cubic root of 2002812 is about 126.0511256370.
Adding to 2002812 its reverse (2182002), we get a palindrome (4184814).
The spelling of 2002812 in words is "two million, two thousand, eight hundred twelve".
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