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11960 = 2351323
BaseRepresentation
bin10111010111000
3121101222
42322320
5340320
6131212
746604
oct27270
917358
1011960
118a93
126b08
1355a0
144504
153825
hex2eb8

11960 has 32 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4224.

The previous prime is 11959. The next prime is 11969. The reversal of 11960 is 6911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509 + ... + 531.

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

211960 is an apocalyptic number.

11960 is a gapful number since it is divisible by the number (10) 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 11960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

11960 is an abundant number, since it is smaller than the sum of its proper divisors (18280).

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

11960 is a wasteful number, since it uses less digits than its factorization.

11960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11960 is about 109.3617849159. The cubic root of 11960 is about 22.8688184398.

It can be divided in two parts, 119 and 60, that multiplied together give a triangular number (7140 = T119).

The spelling of 11960 in words is "eleven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 11960