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268814 = 27213211
BaseRepresentation
bin1000001101000001110
3111122202002
41001220032
532100224
65432302
72166500
oct1015016
9448662
10268814
11173a67
1210b692
1395480
146dd70
15549ae
hex41a0e

268814 has 24 divisors (see below), whose sum is σ = 507528. Its totient is φ = 105840.

The previous prime is 268813. The next prime is 268817. The reversal of 268814 is 418862.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268811) 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 11 ways as a sum of consecutive naturals, for example, 1169 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (21147).

2268814 is an apocalyptic number.

268814 is a deficient number, since it is larger than the sum of its proper divisors (238714).

268814 is a wasteful number, since it uses less digits than its factorization.

268814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 268814 is about 518.4727572400. The cubic root of 268814 is about 64.5382662581.

The spelling of 268814 in words is "two hundred sixty-eight thousand, eight hundred fourteen".

Divisors: 1 2 7 13 14 26 49 91 98 182 211 422 637 1274 1477 2743 2954 5486 10339 19201 20678 38402 134407 268814