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268931 = 13137151
BaseRepresentation
bin1000001101010000011
3111122220102
41001222003
532101211
65433015
72200025
oct1015203
9448812
10268931
11174063
1210b76b
1395540
1470015
1554a3b
hex41a83

268931 has 8 divisors (see below), whose sum is σ = 293664. Its totient is φ = 244800.

The previous prime is 268927. The next prime is 268937. The reversal of 268931 is 139862.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268931 - 22 = 268927 is a prime.

It is a super-2 number, since 2×2689312 = 144647765522, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 268894 and 268903.

It is not an unprimeable number, because it can be changed into a prime (268937) 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 in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (36708).

2268931 is an apocalyptic number.

268931 is a deficient number, since it is larger than the sum of its proper divisors (24733).

268931 is a wasteful number, since it uses less digits than its factorization.

268931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its digits is 2592, while the sum is 29.

The square root of 268931 is about 518.5855763517. The cubic root of 268931 is about 64.5476282233.

The spelling of 268931 in words is "two hundred sixty-eight thousand, nine hundred thirty-one".

Divisors: 1 13 137 151 1781 1963 20687 268931