| Base | Representation |
|---|---|
| bin | 110011100000… |
| … | …111101000000 |
| 3 | 221102002110000 |
| 4 | 303200331000 |
| 5 | 11424114240 |
| 6 | 1201240000 |
| 7 | 222533124 |
| oct | 63407500 |
| 9 | 27362400 |
| 10 | 13504320 |
| 11 | 7693aa5 |
| 12 | 4633000 |
| 13 | 2a4a92b |
| 14 | 1b17584 |
| 15 | 12bb430 |
| hex | ce0f40 |
13504320 has 140 divisors (see below), whose sum is σ = 48129444. Its totient is φ = 3594240.
The previous prime is 13504301. The next prime is 13504331. The reversal of 13504320 is 2340531.
It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 9144576 = 2088^2 + 3024^2 .
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
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 = 13504293 and 13504302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25660 + ... + 26180.
Almost surely, 213504320 is an apocalyptic number.
13504320 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 13504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064722).
13504320 is an abundant number, since it is smaller than the sum of its proper divisors (34625124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13504320 is an equidigital number, since it uses as much as digits as its factorization.
13504320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 550 (or 531 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 13504320 is about 3674.8224446904. The cubic root of 13504320 is about 238.1355535034.
Adding to 13504320 its reverse (2340531), we get a palindrome (15844851).
It can be divided in two parts, 13504 and 320, that added together give a cube (13824 = 243).
The spelling of 13504320 in words is "thirteen million, five hundred four thousand, three hundred twenty".
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