Base | Representation |
---|---|
bin | 110001101111… |
… | …100011100000 |
3 | 220112111022001 |
4 | 301233203200 |
5 | 11314233330 |
6 | 1143253344 |
7 | 215560012 |
oct | 61574340 |
9 | 26474261 |
10 | 13039840 |
11 | 73a7030 |
12 | 444a254 |
13 | 29173a8 |
14 | 1a361b2 |
15 | 12289ca |
hex | c6f8e0 |
13039840 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4569600.
The previous prime is 13039823. The next prime is 13039841. The reversal of 13039840 is 4893031.
13039840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 13039799 and 13039808.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13039841) 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, 54441 + ... + 54679.
It is an arithmetic number, because the mean of its divisors is an integer number (362880).
Almost surely, 213039840 is an apocalyptic number.
13039840 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 13039840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).
13039840 is an abundant number, since it is smaller than the sum of its proper divisors (21796640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13039840 is a wasteful number, since it uses less digits than its factorization.
13039840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 296 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 28.
The square root of 13039840 is about 3611.0718630346. The cubic root of 13039840 is about 235.3734216996.
The spelling of 13039840 in words is "thirteen million, thirty-nine thousand, eight hundred forty".
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