Base | Representation |
---|---|
bin | 101101011000… |
… | …0111010000000 |
3 | 1122202211020121 |
4 | 1122300322000 |
5 | 22042341110 |
6 | 2205550024 |
7 | 406145110 |
oct | 132607200 |
9 | 48684217 |
10 | 23793280 |
11 | 12481275 |
12 | 7b75314 |
13 | 4c10b84 |
14 | 3235040 |
15 | 214ecda |
hex | 16b0e80 |
23793280 has 128 divisors (see below), whose sum is σ = 66977280. Its totient is φ = 7913472.
The previous prime is 23793239. The next prime is 23793281. The reversal of 23793280 is 8239732.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×237932802 = 1132240346316800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (23793281) 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, 210504 + ... + 210616.
It is an arithmetic number, because the mean of its divisors is an integer number (523260).
Almost surely, 223793280 is an apocalyptic number.
23793280 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 23793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488640).
23793280 is an abundant number, since it is smaller than the sum of its proper divisors (43184000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23793280 is a wasteful number, since it uses less digits than its factorization.
23793280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 174 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 34.
The square root of 23793280 is about 4877.8355855851. The cubic root of 23793280 is about 287.6193530913.
The spelling of 23793280 in words is "twenty-three million, seven hundred ninety-three thousand, two hundred eighty".
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