Search a number
-
+
13278401 is a prime number
BaseRepresentation
bin110010101001…
…110011000001
3220222121112122
4302221303001
511344402101
61152334025
7220602353
oct62516301
926877478
1013278401
11754a294
124544315
13299bb56
141a990d3
15127451b
hexca9cc1

13278401 has 2 divisors, whose sum is σ = 13278402. Its totient is φ = 13278400.

The previous prime is 13278389. The next prime is 13278413. The reversal of 13278401 is 10487231.

It is a balanced prime because it is at equal distance from previous prime (13278389) and next prime (13278413).

It can be written as a sum of positive squares in only one way, i.e., 9859600 + 3418801 = 3140^2 + 1849^2 .

It is a cyclic number.

It is not a de Polignac number, because 13278401 - 218 = 13016257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13278901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6639200 + 6639201.

It is an arithmetic number, because the mean of its divisors is an integer number (6639201).

Almost surely, 213278401 is an apocalyptic number.

It is an amenable number.

13278401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13278401 is an equidigital number, since it uses as much as digits as its factorization.

13278401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13278401 is about 3643.9540337386. The cubic root of 13278401 is about 236.8001246442.

The spelling of 13278401 in words is "thirteen million, two hundred seventy-eight thousand, four hundred one".