| Base | Representation |
|---|---|
| bin | 110100101111… |
| … | …000000000000 |
| 3 | 222000022222000 |
| 4 | 310233000000 |
| 5 | 12014332000 |
| 6 | 1212144000 |
| 7 | 225334131 |
| oct | 64570000 |
| 9 | 28008860 |
| 10 | 13824000 |
| 11 | 78921a3 |
| 12 | 4768000 |
| 13 | 2b302a8 |
| 14 | 1b9bc88 |
| 15 | 1331000 |
| hex | d2f000 |
13824000 has 208 divisors, whose sum is σ = 51111840. Its totient is φ = 3686400.
The previous prime is 13823987. The next prime is 13824017. The reversal of 13824000 is 42831.
It is a happy number.
The cubic root of 13824000 is 240.
It is a perfect power (a cube), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (5!)3 ⋅ (2!)3.
It is a super-2 number, since 2×138240002 = 382205952000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764798 + ... + 2764802.
It is an arithmetic number, because the mean of its divisors is an integer number (245730).
Almost surely, 213824000 is an apocalyptic number.
13824000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
13824000 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25555920).
13824000 is an abundant number, since it is smaller than the sum of its proper divisors (37287840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13824000 is an frugal number, since it uses more digits than its factorization.
13824000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 13824000 is about 3718.0640123591.
Adding to 13824000 its reverse (42831), we get a palindrome (13866831).
The spelling of 13824000 in words is "thirteen million, eight hundred twenty-four thousand".
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