Base | Representation |
---|---|
bin | 100100111011… |
… | …010010000000 |
3 | 200012210110112 |
4 | 210323102000 |
5 | 4434230000 |
6 | 543250452 |
7 | 145164401 |
oct | 44732200 |
9 | 20183415 |
10 | 9680000 |
11 | 5511800 |
12 | 32a9a28 |
13 | 200c015 |
14 | 13dd9a8 |
15 | cb3235 |
hex | 93b480 |
9680000 has 120 divisors (see below), whose sum is σ = 26487615. Its totient is φ = 3520000.
The previous prime is 9679981. The next prime is 9680003. The reversal of 9680000 is 869.
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 3 ways, for example, as 2238016 + 7441984 = 1496^2 + 2728^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2200.
It is not an unprimeable number, because it can be changed into a prime (9680003) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 879995 + ... + 880005.
Almost surely, 29680000 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 9680000
9680000 is an abundant number, since it is smaller than the sum of its proper divisors (16807615).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9680000 is an equidigital number, since it uses as much as digits as its factorization.
9680000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 23.
The square root of 9680000 is about 3111.2698372208. The cubic root of 9680000 is about 213.1204473533.
Adding to 9680000 its reverse (869), we get a palindrome (9680869).
The spelling of 9680000 in words is "nine million, six hundred eighty thousand".
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