Base | Representation |
---|---|
bin | 1111011010010110000000 |
3 | 21121020221000 |
4 | 33122112000 |
5 | 2013240224 |
6 | 222332000 |
7 | 46224420 |
oct | 17322600 |
9 | 7536830 |
10 | 4040064 |
11 | 230a3a6 |
12 | 142a000 |
13 | ab5b92 |
14 | 772480 |
15 | 54c0c9 |
hex | 3da580 |
4040064 has 128 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1147392.
The previous prime is 4040059. The next prime is 4040083. The reversal of 4040064 is 4600404.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24109 + ... + 24275.
It is an arithmetic number, because the mean of its divisors is an integer number (107100).
Almost surely, 24040064 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 4040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).
4040064 is an abundant number, since it is smaller than the sum of its proper divisors (9668736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4040064 is a wasteful number, since it uses less digits than its factorization.
4040064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 197 (or 179 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 4040064 is about 2009.9910447562. The cubic root of 4040064 is about 159.2683258478.
Adding to 4040064 its reverse (4600404), we get a palindrome (8640468).
It can be divided in two parts, 40 and 40064, that added together give a palindrome (40104).
The spelling of 4040064 in words is "four million, forty thousand, sixty-four", and thus it is an eban number.
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