| Base | Representation |
|---|---|
| bin | 10010001101111010… |
| … | …00000000111010000 |
| 3 | 221020121102021212000 |
| 4 | 21012331000013100 |
| 5 | 130012231042320 |
| 6 | 4254254234000 |
| 7 | 464236304301 |
| oct | 110675000720 |
| 9 | 27217367760 |
| 10 | 9780330960 |
| 11 | 4169818454 |
| 12 | 1a8b4b5900 |
| 13 | bcb3375aa |
| 14 | 68ad007a8 |
| 15 | 3c396ac90 |
| hex | 246f401d0 |
9780330960 has 320 divisors, whose sum is σ = 34386370560. Its totient is φ = 2554675200.
The previous prime is 9780330947. The next prime is 9780330961. The reversal of 9780330960 is 690330879.
It is a happy number.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9780330961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27706144 + ... + 27706496.
It is an arithmetic number, because the mean of its divisors is an integer number (107457408).
Almost surely, 29780330960 is an apocalyptic number.
9780330960 is a gapful number since it is divisible by the number (90) 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 9780330960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193185280).
9780330960 is an abundant number, since it is smaller than the sum of its proper divisors (24606039600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9780330960 is a wasteful number, since it uses less digits than its factorization.
9780330960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 603 (or 591 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The square root of 9780330960 is about 98895.5558152135. Note that the first 3 decimals coincide. The cubic root of 9780330960 is about 2138.5423269727.
The spelling of 9780330960 in words is "nine billion, seven hundred eighty million, three hundred thirty thousand, nine hundred sixty".
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