Base | Representation |
---|---|
bin | 101011111110… |
… | …0011100000000 |
3 | 1121101021020211 |
4 | 1113330130000 |
5 | 21400212310 |
6 | 2142043504 |
7 | 366646030 |
oct | 127743400 |
9 | 47337224 |
10 | 23054080 |
11 | 12016965 |
12 | 7879594 |
13 | 4a1258a |
14 | 30c18c0 |
15 | 2055c8a |
hex | 15fc700 |
23054080 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 7557120.
The previous prime is 23054069. The next prime is 23054089. The reversal of 23054080 is 8045032.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23054089) 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, 277719 + ... + 277801.
It is an arithmetic number, because the mean of its divisors is an integer number (457856).
Almost surely, 223054080 is an apocalyptic number.
23054080 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 23054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).
23054080 is an abundant number, since it is smaller than the sum of its proper divisors (42877184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23054080 is an equidigital number, since it uses as much as digits as its factorization.
23054080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
The square root of 23054080 is about 4801.4664426610. The cubic root of 23054080 is about 284.6094167429.
The spelling of 23054080 in words is "twenty-three million, fifty-four thousand, eighty".
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