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11952 = 243283
BaseRepresentation
bin10111010110000
3121101200
42322300
5340302
6131200
746563
oct27260
917350
1011952
118a86
126b00
135595
1444da
15381c
hex2eb0

11952 has 30 divisors (see below), whose sum is σ = 33852. Its totient is φ = 3936.

The previous prime is 11941. The next prime is 11953. The reversal of 11952 is 25911.

It can be divided in two parts, 119 and 52, that added together give a palindrome (171).

11952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (11953) by changing a digit.

11952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103 + ... + 185.

211952 is an apocalyptic number.

11952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926).

11952 is an abundant number, since it is smaller than the sum of its proper divisors (21900).

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

11952 is a wasteful number, since it uses less digits than its factorization.

11952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its digits is 90, while the sum is 18.

The square root of 11952 is about 109.3252029497. The cubic root of 11952 is about 22.8637183463.

The spelling of 11952 in words is "eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952