Search a number
-
+
10308 = 223859
BaseRepresentation
bin10100001000100
3112010210
42201010
5312213
6115420
742024
oct24104
915123
1010308
117821
125b70
1348cc
143a84
1530c3
hex2844

10308 has 12 divisors (see below), whose sum is σ = 24080. Its totient is φ = 3432.

The previous prime is 10303. The next prime is 10313. The reversal of 10308 is 80301.

10308 is nontrivially palindromic in base 5 and base 7.

It is an interprime number because it is at equal distance from previous prime (10303) and next prime (10313).

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

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 859 = 10308 / (1 + 0 + 3 + 0 + 8).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10293 and 10302.

It is not an unprimeable number, because it can be changed into a prime (10301) by changing a digit.

10308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418 + ... + 441.

It is an amenable number.

10308 is an abundant number, since it is smaller than the sum of its proper divisors (13772).

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 (12040).

10308 is a wasteful number, since it uses less digits than its factorization.

10308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10308 is about 101.5283211720. The cubic root of 10308 is about 21.7633027354.

Subtracting from 10308 its sum of digits (12), we obtain a triangular number (10296 = T143).

Adding to 10308 its reverse (80301), we get a palindrome (90609).

The spelling of 10308 in words is "ten thousand, three hundred eight".

Divisors: 1 2 3 4 6 12 859 1718 2577 3436 5154 10308