Base | Representation |
---|---|
bin | 101011111000… |
… | …0010101101000 |
3 | 1121021202021021 |
4 | 1113300111220 |
5 | 21342121040 |
6 | 2141022224 |
7 | 366351400 |
oct | 127602550 |
9 | 47252237 |
10 | 23004520 |
11 | 11a92700 |
12 | 7854974 |
13 | 49c5b56 |
14 | 30ab800 |
15 | 204624a |
hex | 15f0568 |
23004520 has 144 divisors (see below), whose sum is σ = 66864420. Its totient is φ = 7096320.
The previous prime is 23004493. The next prime is 23004523. The reversal of 23004520 is 2540032.
It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 213444 = 4774^2 + 462^2 .
It is a junction number, because it is equal to n+sod(n) for n = 23004494 and 23004503.
It is not an unprimeable number, because it can be changed into a prime (23004523) 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, 237112 + ... + 237208.
Almost surely, 223004520 is an apocalyptic number.
23004520 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 23004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432210).
23004520 is an abundant number, since it is smaller than the sum of its proper divisors (43859900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23004520 is a wasteful number, since it uses less digits than its factorization.
23004520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 122 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 16.
The square root of 23004520 is about 4796.3027427384. The cubic root of 23004520 is about 284.4053261544.
Adding to 23004520 its reverse (2540032), we get a palindrome (25544552).
The spelling of 23004520 in words is "twenty-three million, four thousand, five hundred twenty".
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