| Base | Representation |
|---|---|
| bin | 1011011100101010000000 |
| 3 | 12122110112200 |
| 4 | 23130222000 |
| 5 | 1232012320 |
| 6 | 144153200 |
| 7 | 34336104 |
| oct | 13345200 |
| 9 | 5573480 |
| 10 | 3000960 |
| 11 | 176a736 |
| 12 | 1008800 |
| 13 | 810c21 |
| 14 | 581904 |
| 15 | 3e4290 |
| hex | 2dca80 |
3000960 has 96 divisors (see below), whose sum is σ = 10382580. Its totient is φ = 798720.
The previous prime is 3000953. The next prime is 3000961. The reversal of 3000960 is 690003.
It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 97344 = 1704^2 + 312^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (3000961) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5500 + ... + 6020.
Almost surely, 23000960 is an apocalyptic number.
3000960 is a gapful number since it is divisible by the number (30) 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 3000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191290).
3000960 is an abundant number, since it is smaller than the sum of its proper divisors (7381620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3000960 is a wasteful number, since it uses less digits than its factorization.
3000960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 546 (or 531 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 3000960 is about 1732.3279135314. The cubic root of 3000960 is about 144.2403393855.
Adding to 3000960 its reverse (690003), we get a palindrome (3690963).
The spelling of 3000960 in words is "three million, nine hundred sixty", and thus it is an aban number.
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.000 sec. • engine limits •