| Base | Representation |
|---|---|
| bin | 110000111001… |
| … | …111101100000 |
| 3 | 220010100011200 |
| 4 | 300321331200 |
| 5 | 11240222240 |
| 6 | 1134441200 |
| 7 | 213654012 |
| oct | 60717540 |
| 9 | 26110150 |
| 10 | 12820320 |
| 11 | 7267107 |
| 12 | 4363200 |
| 13 | 286b4b6 |
| 14 | 19ba1b2 |
| 15 | 11d3930 |
| hex | c39f60 |
12820320 has 144 divisors (see below), whose sum is σ = 45405360. Its totient is φ = 3290112.
The previous prime is 12820303. The next prime is 12820337. The reversal of 12820320 is 2302821.
It is a happy number.
12820320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12820303) and next prime (12820337).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12820293 and 12820302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41607 + ... + 41913.
It is an arithmetic number, because the mean of its divisors is an integer number (315315).
Almost surely, 212820320 is an apocalyptic number.
12820320 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 12820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702680).
12820320 is an abundant number, since it is smaller than the sum of its proper divisors (32585040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12820320 is a wasteful number, since it uses less digits than its factorization.
12820320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 357 (or 346 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 12820320 is about 3580.5474441767. The cubic root of 12820320 is about 234.0451370303.
The spelling of 12820320 in words is "twelve million, eight hundred twenty thousand, three hundred twenty".
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