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11000 = 235311
BaseRepresentation
bin10101011111000
3120002102
42223320
5323000
6122532
744033
oct25370
916072
1011000
1182a0
126448
135012
14401a
1533d5
hex2af8

11000 has 32 divisors (see below), whose sum is σ = 28080. Its totient is φ = 4000.

The previous prime is 10993. The next prime is 11003. The reversal of 11000 is 11.

Adding to 11000 its reverse (11), we get a palindrome (11011).

11000 divided by its reverse (11) gives a cube (1000 = 103).

It can be divided in two parts, 1 and 1000, that added together give a palindrome (1001).

It is a sliding number, since 11000 = 1000 + 10000 and 1/1000 + 1/10000 = 0.0011000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003) by changing a digit.

11000 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, 995 + ... + 1005.

211000 is an apocalyptic number.

11000 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 11000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

11000 is an abundant number, since it is smaller than the sum of its proper divisors (17080).

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

11000 is a wasteful number, since it uses less digits than its factorization.

11000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 11000 is about 104.8808848170. The cubic root of 11000 is about 22.2398009057.

The spelling of 11000 in words is "eleven thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000