| Base | Representation |
|---|---|
| bin | 101101111010… |
| … | …101101100000 |
| 3 | 211122112121100 |
| 4 | 231322231200 |
| 5 | 11040140320 |
| 6 | 1105554400 |
| 7 | 204212115 |
| oct | 55725540 |
| 9 | 24575540 |
| 10 | 12036960 |
| 11 | 6881601 |
| 12 | 4045a00 |
| 13 | 2655a80 |
| 14 | 185490c |
| 15 | 10cb790 |
| hex | b7ab60 |
12036960 has 144 divisors (see below), whose sum is σ = 44304624. Its totient is φ = 2958336.
The previous prime is 12036953. The next prime is 12036961. The reversal of 12036960 is 6963021.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12036961) 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 23 ways as a sum of consecutive naturals, for example, 18399 + ... + 19041.
It is an arithmetic number, because the mean of its divisors is an integer number (307671).
Almost surely, 212036960 is an apocalyptic number.
12036960 is a gapful number since it is divisible by the number (10) 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 12036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152312).
12036960 is an abundant number, since it is smaller than the sum of its proper divisors (32267664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12036960 is a wasteful number, since it uses less digits than its factorization.
12036960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 677 (or 666 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The square root of 12036960 is about 3469.4322302071. The cubic root of 12036960 is about 229.1776555979.
Adding to 12036960 its reverse (6963021), we get a palindrome (18999981).
It can be divided in two parts, 12036 and 960, that added together give a square (12996 = 1142).
The spelling of 12036960 in words is "twelve million, thirty-six thousand, nine hundred sixty".
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