Base | Representation |
---|---|
bin | 101011110111… |
… | …1001111010000 |
3 | 1121021112002110 |
4 | 1113233033100 |
5 | 21342000031 |
6 | 2140545320 |
7 | 366332304 |
oct | 127571720 |
9 | 47245073 |
10 | 23000016 |
11 | 11a8a286 |
12 | 7852240 |
13 | 49c3aa0 |
14 | 30a9d04 |
15 | 2044c46 |
hex | 15ef3d0 |
23000016 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 6451200.
The previous prime is 23000011. The next prime is 23000027. The reversal of 23000016 is 61000032.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 22999965 and 23000010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23000011) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560956 + ... + 560996.
It is an arithmetic number, because the mean of its divisors is an integer number (437472).
Almost surely, 223000016 is an apocalyptic number.
23000016 is a gapful number since it is divisible by the number (26) 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 23000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).
23000016 is an abundant number, since it is smaller than the sum of its proper divisors (46995504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000016 is a wasteful number, since it uses less digits than its factorization.
23000016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 125 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 23000016 is about 4795.8331914277. The cubic root of 23000016 is about 284.3867639299.
Adding to 23000016 its reverse (61000032), we get a palindrome (84000048).
The spelling of 23000016 in words is "twenty-three million, sixteen", and thus it is an aban number and an uban number.
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