Base | Representation |
---|---|
bin | 101011110111… |
… | …1010111000100 |
3 | 1121021112202222 |
4 | 1113233113010 |
5 | 21342004031 |
6 | 2140551512 |
7 | 366333620 |
oct | 127572704 |
9 | 47245688 |
10 | 23000516 |
11 | 11a8a6a0 |
12 | 7852598 |
13 | 49c4096 |
14 | 30aa180 |
15 | 2044e7b |
hex | 15ef5c4 |
23000516 has 48 divisors (see below), whose sum is σ = 51166080. Its totient is φ = 8785920.
The previous prime is 23000513. The next prime is 23000533. The reversal of 23000516 is 61500032.
It is a junction number, because it is equal to n+sod(n) for n = 23000494 and 23000503.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000513) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15620 + ... + 17028.
It is an arithmetic number, because the mean of its divisors is an integer number (1065960).
Almost surely, 223000516 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 23000516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583040).
23000516 is an abundant number, since it is smaller than the sum of its proper divisors (28165564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000516 is a wasteful number, since it uses less digits than its factorization.
23000516 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 17.
The square root of 23000516 is about 4795.8853197298. The cubic root of 23000516 is about 284.3888246872.
Adding to 23000516 its reverse (61500032), we get a palindrome (84500548).
The spelling of 23000516 in words is "twenty-three million, five hundred sixteen", and thus it is an aban number.
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