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130257 = 3241353
BaseRepresentation
bin11111110011010001
320121200100
4133303101
513132012
62443013
71051521
oct376321
9217610
10130257
1189956
1263469
134739a
1435681
15288dc
hex1fcd1

130257 has 12 divisors (see below), whose sum is σ = 193284. Its totient is φ = 84480.

The previous prime is 130253. The next prime is 130259. The reversal of 130257 is 752031.

It can be written as a sum of positive squares in 2 ways, for example, as 25281 + 104976 = 159^2 + 324^2 .

It is not a de Polignac number, because 130257 - 22 = 130253 is a prime.

130257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (130253) 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 11 ways as a sum of consecutive naturals, for example, 193 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (16107).

2130257 is an apocalyptic number.

It is an amenable number.

130257 is a deficient number, since it is larger than the sum of its proper divisors (63027).

130257 is a wasteful number, since it uses less digits than its factorization.

130257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 130257 is about 360.9113464551. The cubic root of 130257 is about 50.6913305205.

Adding to 130257 its reverse (752031), we get a palindrome (882288).

The spelling of 130257 in words is "one hundred thirty thousand, two hundred fifty-seven".

Divisors: 1 3 9 41 123 353 369 1059 3177 14473 43419 130257