Base | Representation |
---|---|
bin | 100010111101… |
… | …1100110100000 |
3 | 1021111100212100 |
4 | 1011323212200 |
5 | 14143111224 |
6 | 1452530400 |
7 | 311551152 |
oct | 105734640 |
9 | 37440770 |
10 | 18332064 |
11 | a391173 |
12 | 6180a00 |
13 | 3a4b19a |
14 | 2612ad2 |
15 | 1921ac9 |
hex | 117b9a0 |
18332064 has 72 divisors (see below), whose sum is σ = 53159652. Its totient is φ = 5990400.
The previous prime is 18332063. The next prime is 18332077. The reversal of 18332064 is 46023381.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 17139600 + 1192464 = 4140^2 + 1092^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is not an unprimeable number, because it can be changed into a prime (18332063) 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, 14664 + ... + 15864.
Almost surely, 218332064 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 18332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26579826).
18332064 is an abundant number, since it is smaller than the sum of its proper divisors (34827588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18332064 is a wasteful number, since it uses less digits than its factorization.
18332064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1270 (or 1259 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 18332064 is about 4281.5959641237. The cubic root of 18332064 is about 263.6759108475.
The spelling of 18332064 in words is "eighteen million, three hundred thirty-two thousand, sixty-four".
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