Base | Representation |
---|---|
bin | 101101001010… |
… | …0111010001000 |
3 | 1122112222221012 |
4 | 1122110322020 |
5 | 22030203400 |
6 | 2203303052 |
7 | 405156551 |
oct | 132247210 |
9 | 48488835 |
10 | 23678600 |
11 | 124030a0 |
12 | 7b1aa88 |
13 | 4ba090a |
14 | 3205328 |
15 | 212ad35 |
hex | 1694e88 |
23678600 has 96 divisors (see below), whose sum is σ = 61603200. Its totient is φ = 8390400.
The previous prime is 23678593. The next prime is 23678623. The reversal of 23678600 is 687632.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103286 + ... + 103514.
It is an arithmetic number, because the mean of its divisors is an integer number (641700).
Almost surely, 223678600 is an apocalyptic number.
23678600 is a gapful number since it is divisible by the number (20) 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 23678600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30801600).
23678600 is an abundant number, since it is smaller than the sum of its proper divisors (37924600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23678600 is a wasteful number, since it uses less digits than its factorization.
23678600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 303 (or 294 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 32.
The square root of 23678600 is about 4866.0661729985. The cubic root of 23678600 is about 287.1565148067.
The spelling of 23678600 in words is "twenty-three million, six hundred seventy-eight thousand, six hundred".
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