Search a number
BaseRepresentation
bin1010011000100
321021220
41103010
5132231
640340
721333
oct12304
97256
105316
113aa3
1230b0
13255c
141d1a
151896
hex14c4

5316 has 12 divisors (see below), whose sum is σ = 12432. Its totient is φ = 1768.

The previous prime is 5309. The next prime is 5323. The reversal of 5316 is 6135.

5316 is nontrivially palindromic in base 5 and base 11.

It is an interprime number because it is at equal distance from previous prime (5309) and next prime (5323).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 5295 and 5304.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5316.

It is an unprimeable number.

5316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 210 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1036).

It is an amenable number.

5316 is an abundant number, since it is smaller than the sum of its proper divisors (7116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216).

5316 is a wasteful number, since it uses less digits than its factorization.

5316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 448 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 5316 is about 72.9109045342. The cubic root of 5316 is about 17.4526611760.

It can be divided in two parts, 53 and 16, that multiplied together give a palindrome (848).

The spelling of 5316 in words is "five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 443 886 1329 1772 2658 5316