Search a number
-
+
10356 = 223863
BaseRepresentation
bin10100001110100
3112012120
42201310
5312411
6115540
742123
oct24164
915176
1010356
117865
125bb0
134938
143aba
153106
hex2874

10356 has 12 divisors (see below), whose sum is σ = 24192. Its totient is φ = 3448.

The previous prime is 10343. The next prime is 10357. The reversal of 10356 is 65301.

Adding to 10356 its reverse (65301), we get a palindrome (75657).

Subtracting 10356 from its reverse (65301), we obtain a palindrome (54945).

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

It is a super-3 number, since 3×103563 = 3331941594048, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

210356 is an apocalyptic number.

It is an amenable number.

10356 is an abundant number, since it is smaller than the sum of its proper divisors (13836).

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 (12096).

10356 is a wasteful number, since it uses less digits than its factorization.

10356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

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

The square root of 10356 is about 101.7644338657. The cubic root of 10356 is about 21.7970312710.

The spelling of 10356 in words is "ten thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 863 1726 2589 3452 5178 10356