Base | Representation |
---|---|
bin | 101101110100… |
… | …0010001100000 |
3 | 1200012100100000 |
4 | 1123220101200 |
5 | 22122120224 |
6 | 2214500000 |
7 | 411111225 |
oct | 133502140 |
9 | 50170300 |
10 | 24020064 |
11 | 126166a2 |
12 | 8064600 |
13 | 4c90173 |
14 | 329394c |
15 | 21970c9 |
hex | 16e8460 |
24020064 has 72 divisors (see below), whose sum is σ = 70859880. Its totient is φ = 8004096.
The previous prime is 24020063. The next prime is 24020069. The reversal of 24020064 is 46002042.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (24020063) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6232 + ... + 9320.
It is an arithmetic number, because the mean of its divisors is an integer number (984165).
Almost surely, 224020064 is an apocalyptic number.
24020064 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 24020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35429940).
24020064 is an abundant number, since it is smaller than the sum of its proper divisors (46839816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
24020064 is an equidigital number, since it uses as much as digits as its factorization.
24020064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3114 (or 3094 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 24020064 is about 4901.0268311855. The cubic root of 24020064 is about 288.5302730483.
The spelling of 24020064 in words is "twenty-four million, twenty thousand, sixty-four".
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