Search a number
-
+
10696 = 237191
BaseRepresentation
bin10100111001000
3112200011
42213020
5320241
6121304
743120
oct24710
915604
1010696
118044
126234
134b3a
143c80
153281
hex29c8

10696 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 4560.

The previous prime is 10691. The next prime is 10709. The reversal of 10696 is 69601.

It is a super-2 number, since 2×106962 = 228808832, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10691) 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, 40 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

210696 is an apocalyptic number.

It is an amenable number.

10696 is an abundant number, since it is smaller than the sum of its proper divisors (12344).

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 (11520).

10696 is a wasteful number, since it uses less digits than its factorization.

10696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10696 is about 103.4214677908. The cubic root of 10696 is about 22.0330083016.

It can be divided in two parts, 106 and 96, that added together give a palindrome (202).

The spelling of 10696 in words is "ten thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 191 382 764 1337 1528 2674 5348 10696