Base | Representation |
---|---|
bin | 101100011011… |
… | …0111100100000 |
3 | 1121211102222200 |
4 | 1120312330200 |
5 | 21430344403 |
6 | 2151133200 |
7 | 401664513 |
oct | 130667440 |
9 | 47742880 |
10 | 23293728 |
11 | 1216aa17 |
12 | 7974200 |
13 | 4a97693 |
14 | 3144d7a |
15 | 20a1ca3 |
hex | 1636f20 |
23293728 has 72 divisors (see below), whose sum is σ = 68550300. Its totient is φ = 7494144.
The previous prime is 23293693. The next prime is 23293729. The reversal of 23293728 is 82739232.
It can be written as a sum of positive squares in 2 ways, for example, as 23155344 + 138384 = 4812^2 + 372^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 23293692 and 23293701.
It is not an unprimeable number, because it can be changed into a prime (23293729) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6958 + ... + 9746.
Almost surely, 223293728 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 23293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34275150).
23293728 is an abundant number, since it is smaller than the sum of its proper divisors (45256572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23293728 is a wasteful number, since it uses less digits than its factorization.
23293728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2834 (or 2823 counting only the distinct ones).
The product of its digits is 36288, while the sum is 36.
The square root of 23293728 is about 4826.3576328324. The cubic root of 23293728 is about 285.5921943115.
The spelling of 23293728 in words is "twenty-three million, two hundred ninety-three thousand, seven hundred twenty-eight".
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