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268131 = 3139643
BaseRepresentation
bin1000001011101100011
3111121210210
41001131203
532040011
65425203
72164503
oct1013543
9447723
10268131
111734a6
1210b203
1395076
146da03
15546a6
hex41763

268131 has 8 divisors (see below), whose sum is σ = 360640. Its totient is φ = 177192.

The previous prime is 268123. The next prime is 268133. The reversal of 268131 is 131862.

268131 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 268131 - 23 = 268123 is a prime.

It is a super-2 number, since 2×2681312 = 143788466322, which contains 22 as substring.

It is a Duffinian number.

268131 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 268098 and 268107.

It is not an unprimeable number, because it can be changed into a prime (268133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (45080).

2268131 is an apocalyptic number.

268131 is a deficient number, since it is larger than the sum of its proper divisors (92509).

268131 is a wasteful number, since it uses less digits than its factorization.

268131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its digits is 288, while the sum is 21.

The square root of 268131 is about 517.8136730524. The cubic root of 268131 is about 64.4835604999.

Adding to 268131 its reverse (131862), we get a palindrome (399993).

The spelling of 268131 in words is "two hundred sixty-eight thousand, one hundred thirty-one".

Divisors: 1 3 139 417 643 1929 89377 268131