Search a number
-
+
16310 = 257233
BaseRepresentation
bin11111110110110
3211101002
43332312
51010220
6203302
765360
oct37666
924332
1016310
1111288
129532
137568
145d30
154c75
hex3fb6

16310 has 16 divisors (see below), whose sum is σ = 33696. Its totient is φ = 5568.

The previous prime is 16301. The next prime is 16319. The reversal of 16310 is 1361.

16310 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (16301) and next prime (16319).

It is a super-2 number, since 2×163102 = 532032200, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 16291 and 16300.

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 16310.

It is not an unprimeable number, because it can be changed into a prime (16319) by changing a digit.

16310 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (2106).

216310 is an apocalyptic number.

16310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16310 is an abundant number, since it is smaller than the sum of its proper divisors (17386).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848).

16310 is a wasteful number, since it uses less digits than its factorization.

16310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 16310 is about 127.7106103658. The cubic root of 16310 is about 25.3601209414.

Adding to 16310 its reverse (1361), we get a palindrome (17671).

The spelling of 16310 in words is "sixteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 70 233 466 1165 1631 2330 3262 8155 16310