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11934 = 2331317
BaseRepresentation
bin10111010011110
3121101000
42322132
5340214
6131130
746536
oct27236
917330
1011934
118a6a
126aa6
135580
1444c6
153809
hex2e9e

11934 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3456.

The previous prime is 11933. The next prime is 11939. The reversal of 11934 is 43911.

11934 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694 + ... + 710.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

211934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

11934 is an abundant number, since it is smaller than the sum of its proper divisors (18306).

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

11934 is a wasteful number, since it uses less digits than its factorization.

11934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 35 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11934 is about 109.2428487362. The cubic root of 11934 is about 22.8522348093.

It can be divided in two parts, 119 and 34, that added together give a triangular number (153 = T17).

The spelling of 11934 in words is "eleven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934