Base | Representation |
---|---|
bin | 100100111111… |
… | …001100000000 |
3 | 200020121102010 |
4 | 210333030000 |
5 | 4440233000 |
6 | 543452520 |
7 | 145262136 |
oct | 44771400 |
9 | 20217363 |
10 | 9696000 |
11 | 5522826 |
12 | 32b7140 |
13 | 20163a2 |
14 | 1405756 |
15 | cb7d50 |
hex | 93f300 |
9696000 has 144 divisors (see below), whose sum is σ = 32524128. Its totient is φ = 2560000.
The previous prime is 9695993. The next prime is 9696007. The reversal of 9696000 is 6969.
It is an interprime number because it is at equal distance from previous prime (9695993) and next prime (9696007).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (9696007) 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, 95950 + ... + 96050.
It is an arithmetic number, because the mean of its divisors is an integer number (225862).
Almost surely, 29696000 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 9696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262064).
9696000 is an abundant number, since it is smaller than the sum of its proper divisors (22828128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9696000 is a wasteful number, since it uses less digits than its factorization.
9696000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 30.
The square root of 9696000 is about 3113.8400729646. The cubic root of 9696000 is about 213.2378044516.
The spelling of 9696000 in words is "nine million, six hundred ninety-six thousand".
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