Base | Representation |
---|---|
bin | 101100001110… |
… | …1100100000000 |
3 | 1121122011101000 |
4 | 1120131210000 |
5 | 21414033020 |
6 | 2145012000 |
7 | 401052426 |
oct | 130354400 |
9 | 47564330 |
10 | 23189760 |
11 | 120a98a0 |
12 | 7924000 |
13 | 4a5c269 |
14 | 3119116 |
15 | 2081090 |
hex | 161d900 |
23189760 has 288 divisors, whose sum is σ = 91244160. Its totient is φ = 5529600.
The previous prime is 23189759. The next prime is 23189797. The reversal of 23189760 is 6798132.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380130 + ... + 380190.
It is an arithmetic number, because the mean of its divisors is an integer number (316820).
Almost surely, 223189760 is an apocalyptic number.
23189760 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 23189760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622080).
23189760 is an abundant number, since it is smaller than the sum of its proper divisors (68054400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23189760 is a wasteful number, since it uses less digits than its factorization.
23189760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 23189760 is about 4815.5747320543. The cubic root of 23189760 is about 285.1666615239.
The spelling of 23189760 in words is "twenty-three million, one hundred eighty-nine thousand, seven hundred sixty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •