Base | Representation |
---|---|
bin | 101011110111… |
… | …1010110100000 |
3 | 1121021112201122 |
4 | 1113233112200 |
5 | 21342003410 |
6 | 2140551412 |
7 | 366333536 |
oct | 127572640 |
9 | 47245648 |
10 | 23000480 |
11 | 11a8a668 |
12 | 7852568 |
13 | 49c4069 |
14 | 30aa156 |
15 | 2044e55 |
hex | 15ef5a0 |
23000480 has 48 divisors (see below), whose sum is σ = 56223720. Its totient is φ = 8881152.
The previous prime is 23000479. The next prime is 23000491. The reversal of 23000480 is 8400032.
It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 1507984 = 4636^2 + 1228^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2162 + ... + 7118.
Almost surely, 223000480 is an apocalyptic number.
23000480 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 23000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111860).
23000480 is an abundant number, since it is smaller than the sum of its proper divisors (33223240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000480 is a wasteful number, since it uses less digits than its factorization.
23000480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5001 (or 4993 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 23000480 is about 4795.8815665110. The cubic root of 23000480 is about 284.3886763136.
The spelling of 23000480 in words is "twenty-three million, four hundred eighty", and thus it is an aban number.
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