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128241 = 3214249
BaseRepresentation
bin11111010011110001
320111220200
4133103301
513100431
62425413
71042611
oct372361
9214820
10128241
1188393
1262269
13464a9
1434a41
1527ee6
hex1f4f1

128241 has 6 divisors (see below), whose sum is σ = 185250. Its totient is φ = 85488.

The previous prime is 128239. The next prime is 128257. The reversal of 128241 is 142821.

128241 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in only one way, i.e., 119025 + 9216 = 345^2 + 96^2 .

It is not a de Polignac number, because 128241 - 21 = 128239 is a prime.

It is a Curzon number.

128241 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (128201) 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 in 5 ways as a sum of consecutive naturals, for example, 7116 + ... + 7133.

It is an arithmetic number, because the mean of its divisors is an integer number (30875).

2128241 is an apocalyptic number.

It is an amenable number.

128241 is a deficient number, since it is larger than the sum of its proper divisors (57009).

128241 is a wasteful number, since it uses less digits than its factorization.

128241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14252 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 128241 is about 358.1075257517. The cubic root of 128241 is about 50.4284514339.

The spelling of 128241 in words is "one hundred twenty-eight thousand, two hundred forty-one".

Divisors: 1 3 9 14249 42747 128241