Base | Representation |
---|---|
bin | 111101001010010000000 |
3 | 10202211002210 |
4 | 13221102000 |
5 | 1003112341 |
6 | 110542120 |
7 | 23014563 |
oct | 7512200 |
9 | 3684083 |
10 | 2004096 |
11 | 1149786 |
12 | 807940 |
13 | 552273 |
14 | 3a24da |
15 | 298c16 |
hex | 1e9480 |
2004096 has 64 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 626688.
The previous prime is 2004091. The next prime is 2004097. The reversal of 2004096 is 6904002.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (2004091) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6375 + ... + 6681.
22004096 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 2004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827440).
2004096 is an abundant number, since it is smaller than the sum of its proper divisors (3650784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2004096 is a wasteful number, since it uses less digits than its factorization.
2004096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 341 (or 329 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 2004096 is about 1415.6609763640. The cubic root of 2004096 is about 126.0780569500.
Adding to 2004096 its reverse (6904002), we get a palindrome (8908098).
The spelling of 2004096 in words is "two million, four thousand, ninety-six".
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