Base | Representation |
---|---|
bin | 101011111000… |
… | …0101101000000 |
3 | 1121021211022200 |
4 | 1113300231000 |
5 | 21342143031 |
6 | 2141033200 |
7 | 366355635 |
oct | 127605500 |
9 | 47254280 |
10 | 23006016 |
11 | 11a93840 |
12 | 7855800 |
13 | 49c6737 |
14 | 30ac18c |
15 | 20468e6 |
hex | 15f0b40 |
23006016 has 84 divisors (see below), whose sum is σ = 71957184. Its totient is φ = 6969600.
The previous prime is 23005993. The next prime is 23006021. The reversal of 23006016 is 61060032.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 23006016.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4521 + ... + 8151.
Almost surely, 223006016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35978592).
23006016 is an abundant number, since it is smaller than the sum of its proper divisors (48951168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23006016 is a wasteful number, since it uses less digits than its factorization.
23006016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3660 (or 3647 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 23006016 is about 4796.4586936614. The cubic root of 23006016 is about 284.4114910464.
Adding to 23006016 its reverse (61060032), we get a palindrome (84066048).
The spelling of 23006016 in words is "twenty-three million, six thousand, sixteen".
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