Base | Representation |
---|---|
bin | 101101001010… |
… | …1110101110100 |
3 | 1122120012011200 |
4 | 1122111311310 |
5 | 22030314140 |
6 | 2203332500 |
7 | 405203646 |
oct | 132256564 |
9 | 48505150 |
10 | 23682420 |
11 | 12405a53 |
12 | 7b21130 |
13 | 4ba2588 |
14 | 3206896 |
15 | 212c030 |
hex | 1695d74 |
23682420 has 72 divisors (see below), whose sum is σ = 73611720. Its totient is φ = 6159360.
The previous prime is 23682413. The next prime is 23682431. The reversal of 23682420 is 2428632.
23682420 is a `hidden beast` number, since 236 + 8 + 2 + 420 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 23561316 = 348^2 + 4854^2 .
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, 5776 + ... + 8984.
It is an arithmetic number, because the mean of its divisors is an integer number (1022385).
Almost surely, 223682420 is an apocalyptic number.
23682420 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 23682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36805860).
23682420 is an abundant number, since it is smaller than the sum of its proper divisors (49929300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23682420 is a wasteful number, since it uses less digits than its factorization.
23682420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3265 (or 3260 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 23682420 is about 4866.4586713544. The cubic root of 23682420 is about 287.1719560195.
The spelling of 23682420 in words is "twenty-three million, six hundred eighty-two thousand, four hundred twenty".
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