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11856 = 2431319
BaseRepresentation
bin10111001010000
3121021010
42321100
5334411
6130520
746365
oct27120
917233
1011856
1189a9
126a40
135520
14446c
1537a6
hex2e50

11856 has 40 divisors (see below), whose sum is σ = 34720. Its totient is φ = 3456.

The previous prime is 11839. The next prime is 11863. The reversal of 11856 is 65811.

11856 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 14.

It is a nialpdrome in base 13.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

11856 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, 615 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (868).

211856 is an apocalyptic number.

11856 is a gapful number since it is divisible by the number (16) 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 11856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360).

11856 is an abundant number, since it is smaller than the sum of its proper divisors (22864).

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

11856 is a wasteful number, since it uses less digits than its factorization.

11856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 37 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11856 is about 108.8852607105. The cubic root of 11856 is about 22.8023389413.

The spelling of 11856 in words is "eleven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856