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5306 = 27379
BaseRepresentation
bin1010010111010
321021112
41102322
5132211
640322
721320
oct12272
97245
105306
113a94
1230a2
132552
141d10
15188b
hex14ba

5306 has 8 divisors (see below), whose sum is σ = 9120. Its totient is φ = 2268.

The previous prime is 5303. The next prime is 5309. The reversal of 5306 is 6035.

It is a happy number.

5306 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (5303) and next prime (5309).

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

It is a Harshad number since it is a multiple of its sum of digits (14), and also a Moran number because the ratio is a prime number: 379 = 5306 / (5 + 3 + 0 + 6).

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5306.

It is not an unprimeable number, because it can be changed into a prime (5303) 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 3 ways as a sum of consecutive naturals, for example, 176 + ... + 203.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

25306 is an apocalyptic number.

5306 is a deficient number, since it is larger than the sum of its proper divisors (3814).

5306 is a wasteful number, since it uses less digits than its factorization.

5306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

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

The square root of 5306 is about 72.8422954059. The cubic root of 5306 is about 17.4417108273.

Subtracting 5306 from its reverse (6035), we obtain a 6-th power (729 = 36).

The spelling of 5306 in words is "five thousand, three hundred six".

Divisors: 1 2 7 14 379 758 2653 5306