Base | Representation |
---|---|
bin | 110010001000… |
… | …010000000000 |
3 | 220201122001102 |
4 | 302020100000 |
5 | 11331002432 |
6 | 1145353532 |
7 | 216460634 |
oct | 62102000 |
9 | 26648042 |
10 | 13140992 |
11 | 7466027 |
12 | 44988a8 |
13 | 2951447 |
14 | 1a60dc4 |
15 | 1248962 |
hex | c88400 |
13140992 has 44 divisors (see below), whose sum is σ = 26995836. Its totient is φ = 6389760.
The previous prime is 13140977. The next prime is 13140997. The reversal of 13140992 is 29904131.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 12845056 = 544^2 + 3584^2 .
It is a nialpdrome in base 16.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13140997) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41828 + ... + 42140.
Almost surely, 213140992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497918).
13140992 is an abundant number, since it is smaller than the sum of its proper divisors (13854844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13140992 is an equidigital number, since it uses as much as digits as its factorization.
13140992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 374 (or 356 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 29.
The square root of 13140992 is about 3625.0506203362. The cubic root of 13140992 is about 235.9804637663.
The spelling of 13140992 in words is "thirteen million, one hundred forty thousand, nine hundred ninety-two".
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