Search a number
-
+
11772 = 2233109
BaseRepresentation
bin10110111111100
3121011000
42313330
5334042
6130300
746215
oct26774
917130
1011772
118932
126990
135487
14440c
15374c
hex2dfc

11772 has 24 divisors (see below), whose sum is σ = 30800. Its totient is φ = 3888.

The previous prime is 11743. The next prime is 11777. The reversal of 11772 is 27711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11777) by changing a digit.

11772 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 7 ways as a sum of consecutive naturals, for example, 54 + ... + 162.

211772 is an apocalyptic number.

11772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 108×109.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15400).

11772 is an abundant number, since it is smaller than the sum of its proper divisors (19028).

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

11772 is a wasteful number, since it uses less digits than its factorization.

11772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 11772 is about 108.4988479202. The cubic root of 11772 is about 22.7483595806.

The spelling of 11772 in words is "eleven thousand, seven hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 11772