[go: up one dir, main page]

Search a number
-
+
13249837 is a prime number
BaseRepresentation
bin110010100010…
…110100101101
3220221011100201
4302202310231
511342443322
61151553501
7220423156
oct62426455
926834321
1013249837
11752a887
12452b891
13298bb53
141a8c92d
15126ad27
hexca2d2d

13249837 has 2 divisors, whose sum is σ = 13249838. Its totient is φ = 13249836.

The previous prime is 13249799. The next prime is 13249843. The reversal of 13249837 is 73894231.

13249837 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10850436 + 2399401 = 3294^2 + 1549^2 .

It is a cyclic number.

It is not a de Polignac number, because 13249837 - 211 = 13247789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13249796 and 13249805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13249867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6624918 + 6624919.

It is an arithmetic number, because the mean of its divisors is an integer number (6624919).

Almost surely, 213249837 is an apocalyptic number.

It is an amenable number.

13249837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13249837 is an equidigital number, since it uses as much as digits as its factorization.

13249837 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 37.

The square root of 13249837 is about 3640.0325547995. The cubic root of 13249837 is about 236.6302042175.

The spelling of 13249837 in words is "thirteen million, two hundred forty-nine thousand, eight hundred thirty-seven".