Search a number
-
+
11826401 is a prime number
BaseRepresentation
bin101101000111…
…010011100001
3211020211202212
4231013103201
511011421101
61101251505
7202344206
oct55072341
924224685
1011826401
116748394
123b63b95
1325b0c92
1417dbcad
1510891bb
hexb474e1

11826401 has 2 divisors, whose sum is σ = 11826402. Its totient is φ = 11826400.

The previous prime is 11826377. The next prime is 11826413. The reversal of 11826401 is 10462811.

11826401 is digitally balanced in base 2, because in such base 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., 11397376 + 429025 = 3376^2 + 655^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11826401 is a prime.

It is a super-2 number, since 2×118264012 = 279727521225602, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11826431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5913200 + 5913201.

It is an arithmetic number, because the mean of its divisors is an integer number (5913201).

Almost surely, 211826401 is an apocalyptic number.

It is an amenable number.

11826401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11826401 is an equidigital number, since it uses as much as digits as its factorization.

11826401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11826401 is about 3438.9534745326. The cubic root of 11826401 is about 227.8334746385.

The spelling of 11826401 in words is "eleven million, eight hundred twenty-six thousand, four hundred one".