Base | Representation |
---|---|
bin | 101101010000… |
… | …1000000000000 |
3 | 1122122111212120 |
4 | 1122201000000 |
5 | 22033300003 |
6 | 2204324240 |
7 | 405454134 |
oct | 132410000 |
9 | 48574776 |
10 | 23728128 |
11 | 12437326 |
12 | 7b43680 |
13 | 4bba318 |
14 | 32193c4 |
15 | 213a853 |
hex | 16a1000 |
23728128 has 52 divisors (see below), whose sum is σ = 63300048. Its totient is φ = 7905280.
The previous prime is 23728109. The next prime is 23728147. The reversal of 23728128 is 82182732.
It is an interprime number because it is at equal distance from previous prime (23728109) and next prime (23728147).
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11323 + ... + 13253.
Almost surely, 223728128 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 23728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650024).
23728128 is an abundant number, since it is smaller than the sum of its proper divisors (39571920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23728128 is an equidigital number, since it uses as much as digits as its factorization.
23728128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1958 (or 1936 counting only the distinct ones).
The product of its digits is 10752, while the sum is 33.
The square root of 23728128 is about 4871.1526356705. The cubic root of 23728128 is about 287.3565883362.
The spelling of 23728128 in words is "twenty-three million, seven hundred twenty-eight thousand, one hundred twenty-eight".
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