Base | Representation |
---|---|
bin | 1111100000010110000000 |
3 | 21122111122020 |
4 | 33200112000 |
5 | 2020032030 |
6 | 223041440 |
7 | 46356156 |
oct | 17402600 |
9 | 7574566 |
10 | 4064640 |
11 | 2326908 |
12 | 1440280 |
13 | ac4118 |
14 | 77b3d6 |
15 | 554510 |
hex | 3e0580 |
4064640 has 128 divisors (see below), whose sum is σ = 13586400. Its totient is φ = 1032192.
The previous prime is 4064639. The next prime is 4064647. The reversal of 4064640 is 464604.
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 (24).
It is a self number, because there is not a number n which added to its sum of digits gives 4064640.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4064647) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55644 + ... + 55716.
Almost surely, 24064640 is an apocalyptic number.
4064640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793200).
4064640 is an abundant number, since it is smaller than the sum of its proper divisors (9521760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4064640 is a wasteful number, since it uses less digits than its factorization.
4064640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 124 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 4064640 is about 2016.0952358458. The cubic root of 4064640 is about 159.5906201107.
The spelling of 4064640 in words is "four million, sixty-four thousand, six hundred forty".
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