Base | Representation |
---|---|
bin | 100110011001… |
… | …001000000000 |
3 | 200221022201222 |
4 | 212121020000 |
5 | 10034030014 |
6 | 555414212 |
7 | 151355141 |
oct | 46311000 |
9 | 20838658 |
10 | 10064384 |
11 | 5754580 |
12 | 3454368 |
13 | 2114c75 |
14 | 149dac8 |
15 | d3c08e |
hex | 999200 |
10064384 has 40 divisors (see below), whose sum is σ = 21949488. Its totient is φ = 4572160.
The previous prime is 10064359. The next prime is 10064389. The reversal of 10064384 is 48346001.
It is a nialpdrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (10064389) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4739 + ... + 6525.
Almost surely, 210064384 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 10064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974744).
10064384 is an abundant number, since it is smaller than the sum of its proper divisors (11885104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10064384 is an equidigital number, since it uses as much as digits as its factorization.
10064384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1816 (or 1800 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
The square root of 10064384 is about 3172.4413312148. The cubic root of 10064384 is about 215.9048506391.
The spelling of 10064384 in words is "ten million, sixty-four thousand, three hundred eighty-four".
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