Base | Representation |
---|---|
bin | 101101011100… |
… | …1111001000000 |
3 | 1122211200201120 |
4 | 1122321321000 |
5 | 22100030310 |
6 | 2210432240 |
7 | 406360311 |
oct | 132717100 |
9 | 48750646 |
10 | 23830080 |
11 | 124a698a |
12 | 7b92680 |
13 | 4c24851 |
14 | 3244608 |
15 | 215ab70 |
hex | 16b9e40 |
23830080 has 112 divisors (see below), whose sum is σ = 76712064. Its totient is φ = 6266880.
The previous prime is 23830067. The next prime is 23830151. The reversal of 23830080 is 8003832.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 23830080.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98760 + ... + 99000.
Almost surely, 223830080 is an apocalyptic number.
23830080 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 23830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38356032).
23830080 is an abundant number, since it is smaller than the sum of its proper divisors (52881984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23830080 is a wasteful number, since it uses less digits than its factorization.
23830080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 364 (or 354 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 23830080 is about 4881.6062930146. The cubic root of 23830080 is about 287.7675593646.
The spelling of 23830080 in words is "twenty-three million, eight hundred thirty thousand, eighty".
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