| Base | Representation |
|---|---|
| bin | 110100101110… |
| … | …110001000000 |
| 3 | 222000021122110 |
| 4 | 310232301000 |
| 5 | 12014314130 |
| 6 | 1212135320 |
| 7 | 225331260 |
| oct | 64566100 |
| 9 | 28007573 |
| 10 | 13823040 |
| 11 | 7891500 |
| 12 | 4767540 |
| 13 | 2b2ca1a |
| 14 | 1b9b7a0 |
| 15 | 1330ab0 |
| hex | d2ec40 |
13823040 has 336 divisors, whose sum is σ = 58375296. Its totient is φ = 2703360.
The previous prime is 13823039. The next prime is 13823041. The reversal of 13823040 is 4032831.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (13823039) and next prime (13823041).
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 13822998 and 13823016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13823041) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813112 + ... + 813128.
It is an arithmetic number, because the mean of its divisors is an integer number (173736).
Almost surely, 213823040 is an apocalyptic number.
13823040 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 13823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187648).
13823040 is an abundant number, since it is smaller than the sum of its proper divisors (44552256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13823040 is a wasteful number, since it uses less digits than its factorization.
13823040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 66 (or 45 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 13823040 is about 3717.9349106729. The cubic root of 13823040 is about 239.9944443158.
Adding to 13823040 its reverse (4032831), we get a palindrome (17855871).
The spelling of 13823040 in words is "thirteen million, eight hundred twenty-three thousand, forty".
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