Base | Representation |
---|---|
bin | 100010111000… |
… | …011100000000 |
3 | 122012120022001 |
4 | 202320130000 |
5 | 4320102224 |
6 | 523553344 |
7 | 140503036 |
oct | 42703400 |
9 | 18176261 |
10 | 9144064 |
11 | 5186086 |
12 | 308b854 |
13 | 1b820b7 |
14 | 1300556 |
15 | c09544 |
hex | 8b8700 |
9144064 has 36 divisors (see below), whose sum is σ = 19058256. Its totient is φ = 4370432.
The previous prime is 9144059. The next prime is 9144067. The reversal of 9144064 is 4604419.
It is a super-2 number, since 2×91440642 = 167227812872192, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9144067) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5112 + ... + 6664.
It is an arithmetic number, because the mean of its divisors is an integer number (529396).
Almost surely, 29144064 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 9144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9529128).
9144064 is an abundant number, since it is smaller than the sum of its proper divisors (9914192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9144064 is a wasteful number, since it uses less digits than its factorization.
9144064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1592 (or 1578 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 28.
The square root of 9144064 is about 3023.9153427303. The cubic root of 9144064 is about 209.1123835652.
The spelling of 9144064 in words is "nine million, one hundred forty-four thousand, sixty-four".
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