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268841 is a prime number
BaseRepresentation
bin1000001101000101001
3111122210002
41001220221
532100331
65432345
72166536
oct1015051
9448702
10268841
11173a91
1210b6b5
13954a1
146dd8d
15549cb
hex41a29

268841 has 2 divisors, whose sum is σ = 268842. Its totient is φ = 268840.

The previous prime is 268823. The next prime is 268843. The reversal of 268841 is 148862.

268841 is nontrivially palindromic in base 6.

268841 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 105625 = 404^2 + 325^2 .

It is a cyclic number.

It is not a de Polignac number, because 268841 - 26 = 268777 is a prime.

Together with 268843, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268841.

It is not a weakly prime, because it can be changed into another prime (268843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134420 + 134421.

It is an arithmetic number, because the mean of its divisors is an integer number (134421).

2268841 is an apocalyptic number.

It is an amenable number.

268841 is a deficient number, since it is larger than the sum of its proper divisors (1).

268841 is an equidigital number, since it uses as much as digits as its factorization.

268841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 29.

The square root of 268841 is about 518.4987945984. The cubic root of 268841 is about 64.5404269527.

The spelling of 268841 in words is "two hundred sixty-eight thousand, eight hundred forty-one".