Base | Representation |
---|---|
bin | 101101001011… |
… | …0101101100000 |
3 | 1122120101001200 |
4 | 1122112231200 |
5 | 22030422414 |
6 | 2203401200 |
7 | 405220230 |
oct | 132265540 |
9 | 48511050 |
10 | 23685984 |
11 | 124086a3 |
12 | 7b23200 |
13 | 4ba409a |
14 | 3207cc0 |
15 | 212d109 |
hex | 1696b60 |
23685984 has 144 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 6531840.
The previous prime is 23685941. The next prime is 23685997. The reversal of 23685984 is 48958632.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×236859842 = 1122051676096512, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62307 + ... + 62685.
It is an arithmetic number, because the mean of its divisors is an integer number (553280).
Almost surely, 223685984 is an apocalyptic number.
23685984 is a gapful number since it is divisible by the number (24) 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 23685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836160).
23685984 is an abundant number, since it is smaller than the sum of its proper divisors (55986336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23685984 is a wasteful number, since it uses less digits than its factorization.
23685984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 433 (or 422 counting only the distinct ones).
The product of its digits is 414720, while the sum is 45.
The square root of 23685984 is about 4866.8248376123. The cubic root of 23685984 is about 287.1863609313.
The spelling of 23685984 in words is "twenty-three million, six hundred eighty-five thousand, nine hundred eighty-four".
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