Base | Representation |
---|---|
bin | 101101011001… |
… | …0100101000000 |
3 | 1122210011122020 |
4 | 1122302211000 |
5 | 22043101003 |
6 | 2210041440 |
7 | 406204062 |
oct | 132624500 |
9 | 48704566 |
10 | 23800128 |
11 | 12486430 |
12 | 7b79280 |
13 | 4c14021 |
14 | 3237732 |
15 | 2151d53 |
hex | 16b2940 |
23800128 has 112 divisors (see below), whose sum is σ = 70225920. Its totient is φ = 7052800.
The previous prime is 23800111. The next prime is 23800151. The reversal of 23800128 is 82100832.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 23800098 and 23800107.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124513 + ... + 124703.
Almost surely, 223800128 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 23800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112960).
23800128 is an abundant number, since it is smaller than the sum of its proper divisors (46425792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23800128 is a wasteful number, since it uses less digits than its factorization.
23800128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 276 (or 266 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 23800128 is about 4878.5374857635. The cubic root of 23800128 is about 287.6469439124.
The spelling of 23800128 in words is "twenty-three million, eight hundred thousand, one hundred twenty-eight".
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