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268299 = 3319523
BaseRepresentation
bin1000001100000001011
3111122001000
41001200023
532041144
65430043
72165133
oct1014013
9448030
10268299
11173639
1210b323
1395175
146dac3
1554769
hex4180b

268299 has 16 divisors (see below), whose sum is σ = 419200. Its totient is φ = 169128.

The previous prime is 268297. The next prime is 268343. The reversal of 268299 is 992862.

It is not a de Polignac number, because 268299 - 21 = 268297 is a prime.

It is a Duffinian number.

268299 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (268291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (26200).

2268299 is an apocalyptic number.

268299 is a deficient number, since it is larger than the sum of its proper divisors (150901).

268299 is a wasteful number, since it uses less digits than its factorization.

268299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 268299 is about 517.9758681638. The cubic root of 268299 is about 64.4970252820.

The spelling of 268299 in words is "two hundred sixty-eight thousand, two hundred ninety-nine".

Divisors: 1 3 9 19 27 57 171 513 523 1569 4707 9937 14121 29811 89433 268299