Base | Representation |
---|---|
bin | 101101011100… |
… | …0010010110100 |
3 | 1122211100202100 |
4 | 1122320102310 |
5 | 22044323130 |
6 | 2210342100 |
7 | 406332246 |
oct | 132702264 |
9 | 48740670 |
10 | 23823540 |
11 | 124a1a84 |
12 | 7b8a930 |
13 | 4c21890 |
14 | 3242096 |
15 | 2158c60 |
hex | 16b84b4 |
23823540 has 72 divisors (see below), whose sum is σ = 77831208. Its totient is φ = 5863680.
The previous prime is 23823539. The next prime is 23823559. The reversal of 23823540 is 4532832.
It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 23097636 = 852^2 + 4806^2 .
It is a super-2 number, since 2×238235402 = 1135122116263200, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2751 + ... + 7430.
It is an arithmetic number, because the mean of its divisors is an integer number (1080989).
Almost surely, 223823540 is an apocalyptic number.
23823540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23823540 is an abundant number, since it is smaller than the sum of its proper divisors (54007668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23823540 is a wasteful number, since it uses less digits than its factorization.
23823540 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10209 (or 10204 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 23823540 is about 4880.9363855719. The cubic root of 23823540 is about 287.7412316864.
The spelling of 23823540 in words is "twenty-three million, eight hundred twenty-three thousand, five hundred forty".
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