Search a number
-
+
268305081 = 31129327749
BaseRepresentation
bin11111111111000…
…00001010111001
3200200212022101020
433333200022321
51022141230311
642342413053
76435361362
oct1777401271
9620768336
10268305081
111284a6640
1275a31189
1343781505
14278c2b69
151884cc06
hexffe02b9

268305081 has 16 divisors (see below), whose sum is σ = 391608000. Its totient is φ = 162048320.

The previous prime is 268305049. The next prime is 268305109. The reversal of 268305081 is 180503862.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 268305081 - 25 = 268305049 is a prime.

It is a super-2 number, since 2×2683050812 = 143975232980833122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268305001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4206 + ... + 23543.

It is an arithmetic number, because the mean of its divisors is an integer number (24475500).

Almost surely, 2268305081 is an apocalyptic number.

It is an amenable number.

268305081 is a deficient number, since it is larger than the sum of its proper divisors (123302919).

268305081 is a wasteful number, since it uses less digits than its factorization.

268305081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28056.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 268305081 is about 16380.0207875326. The cubic root of 268305081 is about 644.9751255355.

The spelling of 268305081 in words is "two hundred sixty-eight million, three hundred five thousand, eighty-one".

Divisors: 1 3 11 33 293 879 3223 9669 27749 83247 305239 915717 8130457 24391371 89435027 268305081