Base | Representation |
---|---|
bin | 1111100000001101000000 |
3 | 21122110211220 |
4 | 33200031000 |
5 | 2020022224 |
6 | 223035040 |
7 | 46354404 |
oct | 17401500 |
9 | 7573756 |
10 | 4064064 |
11 | 2326434 |
12 | 143ba80 |
13 | ac3a94 |
14 | 77b104 |
15 | 554279 |
hex | 3e0340 |
4064064 has 56 divisors (see below), whose sum is σ = 10960608. Its totient is φ = 1328640.
The previous prime is 4064051. The next prime is 4064083. The reversal of 4064064 is 4604604.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11539 + ... + 11885.
Almost surely, 24064064 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 4064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480304).
4064064 is an abundant number, since it is smaller than the sum of its proper divisors (6896544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4064064 is a wasteful number, since it uses less digits than its factorization.
4064064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 423 (or 413 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 4064064 is about 2015.9523803900. The cubic root of 4064064 is about 159.5830812274.
Adding to 4064064 its reverse (4604604), we get a palindrome (8668668).
It can be divided in two parts, 40640 and 64, that added together give a palindrome (40704).
The spelling of 4064064 in words is "four million, sixty-four thousand, sixty-four", and thus it is an eban number.
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