Base | Representation |
---|---|
bin | 101011110111… |
… | …1001111100000 |
3 | 1121021112010001 |
4 | 1113233033200 |
5 | 21342000112 |
6 | 2140545344 |
7 | 366332326 |
oct | 127571740 |
9 | 47245101 |
10 | 23000032 |
11 | 11a8a2a0 |
12 | 7852254 |
13 | 49c3ab3 |
14 | 30a9d16 |
15 | 2044c57 |
hex | 15ef3e0 |
23000032 has 72 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 9849600.
The previous prime is 23000027. The next prime is 23000059.
23000032 is nontrivially palindromic in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 22999982 and 23000018.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126982 + ... + 127162.
It is an arithmetic number, because the mean of its divisors is an integer number (728091).
Almost surely, 223000032 is an apocalyptic number.
23000032 is a gapful number since it is divisible by the number (22) 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 23000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).
23000032 is an abundant number, since it is smaller than the sum of its proper divisors (29422520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23000032 is a wasteful number, since it uses less digits than its factorization.
23000032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 10.
The square root of 23000032 is about 4795.8348595422. The cubic root of 23000032 is about 284.3868298746.
It can be divided in two parts, 230000 and 32, that added together give a palindrome (230032).
The spelling of 23000032 in words is "twenty-three million, thirty-two", and thus it is an aban number and an uban number.
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