Base | Representation |
---|---|
bin | 100100101000… |
… | …101110100000 |
3 | 200001221012201 |
4 | 210220232200 |
5 | 4424312000 |
6 | 541502544 |
7 | 144430000 |
oct | 44505640 |
9 | 20057181 |
10 | 9604000 |
11 | 546a69a |
12 | 3271a54 |
13 | 1cb3553 |
14 | 13c0000 |
15 | c9a96a |
hex | 928ba0 |
9604000 has 120 divisors (see below), whose sum is σ = 27528228. Its totient is φ = 3292800.
The previous prime is 9603977. The next prime is 9604019. The reversal of 9604000 is 4069.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 6492304 + 3111696 = 2548^2 + 1764^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1371997 + ... + 1372003.
Almost surely, 29604000 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 9604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764114).
9604000 is an abundant number, since it is smaller than the sum of its proper divisors (17924228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9604000 is an frugal number, since it uses more digits than its factorization.
9604000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 9604000 is about 3099.0321069650. The cubic root of 9604000 is about 212.5612280313.
Adding to 9604000 its reverse (4069), we get a palindrome (9608069).
The spelling of 9604000 in words is "nine million, six hundred four thousand".
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