Base | Representation |
---|---|
bin | 101101001011… |
… | …0101100101010 |
3 | 1122120100222200 |
4 | 1122112230222 |
5 | 22030422210 |
6 | 2203401030 |
7 | 405220122 |
oct | 132265452 |
9 | 48510880 |
10 | 23685930 |
11 | 12408654 |
12 | 7b23176 |
13 | 4ba4058 |
14 | 3207c82 |
15 | 212d0c0 |
hex | 1696b2a |
23685930 has 96 divisors (see below), whose sum is σ = 66263184. Its totient is φ = 5849088.
The previous prime is 23685919. The next prime is 23685931. The reversal of 23685930 is 3958632.
23685930 is a `hidden beast` number, since 2 + 3 + 68 + 593 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 7112889 + 16573041 = 2667^2 + 4071^2 .
It is a super-2 number, since 2×236859302 = 1122046559929800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23685931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172822 + ... + 172958.
Almost surely, 223685930 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23685930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33131592).
23685930 is an abundant number, since it is smaller than the sum of its proper divisors (42577254).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23685930 is a wasteful number, since it uses less digits than its factorization.
23685930 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 280 (or 277 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 23685930 is about 4866.8192898442. The cubic root of 23685930 is about 287.1861426859.
The spelling of 23685930 in words is "twenty-three million, six hundred eighty-five thousand, nine hundred thirty".
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