Search a number
-
+
128271 = 31113223
BaseRepresentation
bin11111010100001111
320111221210
4133110033
513101041
62425503
71042653
oct372417
9214853
10128271
1188410
1262293
1346500
1434a63
1528016
hex1f50f

128271 has 24 divisors (see below), whose sum is σ = 210816. Its totient is φ = 68640.

The previous prime is 128257. The next prime is 128273. The reversal of 128271 is 172821.

128271 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

128271 is a nontrivial binomial coefficient, being equal to C(507, 2).

It is not a de Polignac number, because 128271 - 25 = 128239 is a prime.

128271 is strictly pandigital in base 7.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128273) 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 23 ways as a sum of consecutive naturals, for example, 5566 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (8784).

2128271 is an apocalyptic number.

128271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128271 is the 506-th triangular number.

128271 is a deficient number, since it is larger than the sum of its proper divisors (82545).

128271 is a wasteful number, since it uses less digits than its factorization.

128271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 50 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 128271 is about 358.1494101629. The cubic root of 128271 is about 50.4323834462.

The spelling of 128271 in words is "one hundred twenty-eight thousand, two hundred seventy-one".

Divisors: 1 3 11 13 23 33 39 69 143 169 253 299 429 507 759 897 1859 3289 3887 5577 9867 11661 42757 128271