Base | Representation |
---|---|
bin | 101101010001… |
… | …1000001000001 |
3 | 1122122221012101 |
4 | 1122203001001 |
5 | 22034031020 |
6 | 2204430401 |
7 | 405520201 |
oct | 132430101 |
9 | 48587171 |
10 | 23736385 |
11 | 12442552 |
12 | 7b48401 |
13 | 4bc0cca |
14 | 321c401 |
15 | 213d00a |
hex | 16a3041 |
23736385 has 16 divisors (see below), whose sum is σ = 29106000. Its totient is φ = 18579456.
The previous prime is 23736373. The next prime is 23736443. The reversal of 23736385 is 58363732.
It is a Cunningham number, because it is equal to 48722+1.
It can be written as a sum of positive squares in 8 ways, for example, as 87616 + 23648769 = 296^2 + 4863^2 .
It is a 3-Lehmer number, since φ(23736385) divides (23736385-1)3.
It is a cyclic number.
It is not a de Polignac number, because 23736385 - 25 = 23736353 is a prime.
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, 52641 + ... + 53089.
It is an arithmetic number, because the mean of its divisors is an integer number (1819125).
It is a Poulet number, since it divides 223736384-1.
Almost surely, 223736385 is an apocalyptic number.
It is an amenable number.
23736385 is a deficient number, since it is larger than the sum of its proper divisors (5369615).
23736385 is a wasteful number, since it uses less digits than its factorization.
23736385 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 660.
The product of its digits is 90720, while the sum is 37.
The square root of 23736385 is about 4872.0001026273. Note that the first 3 decimals coincide. The cubic root of 23736385 is about 287.3899162664.
The spelling of 23736385 in words is "twenty-three million, seven hundred thirty-six thousand, three hundred eighty-five".
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