Base | Representation |
---|---|
bin | 110010110100… |
… | …001110110100 |
3 | 221001210011120 |
4 | 302310032310 |
5 | 11402234030 |
6 | 1153303540 |
7 | 221141100 |
oct | 62641664 |
9 | 27053146 |
10 | 13321140 |
11 | 7579408 |
12 | 4564bb0 |
13 | 29b5441 |
14 | 1aaa900 |
15 | 1282010 |
hex | cb43b4 |
13321140 has 144 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 2897664.
The previous prime is 13321129. The next prime is 13321151. The reversal of 13321140 is 4112331.
13321140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13321129) and next prime (13321151).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67522 + ... + 67718.
It is an arithmetic number, because the mean of its divisors is an integer number (316008).
Almost surely, 213321140 is an apocalyptic number.
13321140 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 13321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).
13321140 is an abundant number, since it is smaller than the sum of its proper divisors (32184012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13321140 is a wasteful number, since it uses less digits than its factorization.
13321140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 246 (or 237 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 13321140 is about 3649.8136938753. The cubic root of 13321140 is about 237.0539142774.
Adding to 13321140 its reverse (4112331), we get a palindrome (17433471).
The spelling of 13321140 in words is "thirteen million, three hundred twenty-one thousand, one hundred forty".
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