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6305 = 51397
BaseRepresentation
bin1100010100001
322122112
41202201
5200210
645105
724245
oct14241
98575
106305
114812
123795
132b40
142425
151d05
hex18a1

6305 has 8 divisors (see below), whose sum is σ = 8232. Its totient is φ = 4608.

The previous prime is 6301. The next prime is 6311. The reversal of 6305 is 5036.

It is a happy number.

6305 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 6241 = 8^2 + 79^2 .

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 6305 - 22 = 6301 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

26305 is an apocalyptic number.

6305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6305 is the 65-th pentagonal number.

It is an amenable number.

6305 is a deficient number, since it is larger than the sum of its proper divisors (1927).

6305 is a wasteful number, since it uses less digits than its factorization.

6305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 6305 is about 79.4040301244. The cubic root of 6305 is about 18.4740322303.

It can be divided in two parts, 6 and 305, that multiplied together give a triangular number (1830 = T60).

The spelling of 6305 in words is "six thousand, three hundred five".

Divisors: 1 5 13 65 97 485 1261 6305