Search a number
11010 = 235367

11010 has 16 divisors (see below), whose sum is σ = 26496. Its totient is φ = 2928.

The previous prime is 11003. The next prime is 11027. The reversal of 11010 is 1011.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a junction number, because it is equal to n+sod(n) for n = 10986 and 11004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1656).

211010 is an apocalyptic number.

11010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11010 is an abundant number, since it is smaller than the sum of its proper divisors (15486).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248).

11010 is a wasteful number, since it uses less digits than its factorization.

11010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 11010 is about 104.9285471166. The cubic root of 11010 is about 22.2465381981.

Adding to 11010 its reverse (1011), we get a palindrome (12021).

Subtracting from 11010 its reverse (1011), we obtain a palindrome (9999).

It can be divided in two parts, 110 and 10, that added together give a triangular number (120 = T15).

The spelling of 11010 in words is "eleven thousand, ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 30 367 734 1101 1835 2202 3670 5505 11010