| Base | Representation |
|---|---|
| bin | 110010110100… |
| … | …011100100000 |
| 3 | 221001211101000 |
| 4 | 302310130200 |
| 5 | 11402301031 |
| 6 | 1153312000 |
| 7 | 221143461 |
| oct | 62643440 |
| 9 | 27054330 |
| 10 | 13322016 |
| 11 | 757a034 |
| 12 | 4565600 |
| 13 | 29b5966 |
| 14 | 1aaad68 |
| 15 | 12823e6 |
| hex | cb4720 |
13322016 has 96 divisors (see below), whose sum is σ = 41186880. Its totient is φ = 4174848.
The previous prime is 13322011. The next prime is 13322041. The reversal of 13322016 is 61022331.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×133220162 = 354952220608512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 13322016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13322011) 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, 14235 + ... + 15141.
It is an arithmetic number, because the mean of its divisors is an integer number (429030).
Almost surely, 213322016 is an apocalyptic number.
13322016 is a gapful number since it is divisible by the number (16) 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 13322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20593440).
13322016 is an abundant number, since it is smaller than the sum of its proper divisors (27864864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13322016 is a wasteful number, since it uses less digits than its factorization.
13322016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 943 (or 929 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 13322016 is about 3649.9336980280. The cubic root of 13322016 is about 237.0591103962.
Adding to 13322016 its reverse (61022331), we get a palindrome (74344347).
The spelling of 13322016 in words is "thirteen million, three hundred twenty-two thousand, sixteen".
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