Search a number
-
+
11220 = 22351117
BaseRepresentation
bin10101111010100
3120101120
42233110
5324340
6123540
744466
oct25724
916346
1011220
118480
1265b0
135151
144136
1534d0
hex2bd4

11220 has 48 divisors (see below), whose sum is σ = 36288. Its totient is φ = 2560.

The previous prime is 11213. The next prime is 11239. The reversal of 11220 is 2211.

Adding to 11220 its reverse (2211), we get a palindrome (13431).

Subtracting from 11220 its reverse (2211), we obtain a palindrome (9009).

It can be divided in two parts, 11 and 220, that added together give a triangular number (231 = T21).

11220 = T23 + T24 + ... + T42.

It is a happy number.

11220 is digitally balanced in base 6, 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 (6).

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

11220 is an undulating number in base 13.

11220 is strictly pandigital in base 6.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 11199 and 11208.

It is a congruent number.

It is an unprimeable number.

11220 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 15 ways as a sum of consecutive naturals, for example, 652 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

211220 is an apocalyptic number.

11220 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 11220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

11220 is an abundant number, since it is smaller than the sum of its proper divisors (25068).

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

11220 is a wasteful number, since it uses less digits than its factorization.

11220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11220 is about 105.9245014149. The cubic root of 11220 is about 22.3870886478.

The spelling of 11220 in words is "eleven thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220