Base | Representation |
---|---|
bin | 101101011000… |
… | …0001010100000 |
3 | 1122202200002000 |
4 | 1122300022200 |
5 | 22042241430 |
6 | 2205524000 |
7 | 406133205 |
oct | 132601240 |
9 | 48680060 |
10 | 23790240 |
11 | 12479a61 |
12 | 7b73600 |
13 | 4c0c686 |
14 | 3233cac |
15 | 214de60 |
hex | 16b02a0 |
23790240 has 96 divisors (see below), whose sum is σ = 83280960. Its totient is φ = 6342912.
The previous prime is 23790203. The next prime is 23790253. The reversal of 23790240 is 4209732.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
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, 1567 + ... + 7073.
It is an arithmetic number, because the mean of its divisors is an integer number (867510).
Almost surely, 223790240 is an apocalyptic number.
23790240 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 23790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).
23790240 is an abundant number, since it is smaller than the sum of its proper divisors (59490720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23790240 is a wasteful number, since it uses less digits than its factorization.
23790240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5531 (or 5517 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 23790240 is about 4877.5239620119. The cubic root of 23790240 is about 287.6071031328.
Adding to 23790240 its reverse (4209732), we get a palindrome (27999972).
The spelling of 23790240 in words is "twenty-three million, seven hundred ninety thousand, two hundred forty".
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