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11123220 = 2235892083
BaseRepresentation
bin101010011011…
…101000010100
3202221010012010
4222123220110
510321420340
61034224220
7163355133
oct52335024
922833163
1011123220
116308049
123885070
1323c5bb4
14169791a
15e9ab80
hexa9ba14

11123220 has 48 divisors (see below), whose sum is σ = 31510080. Its totient is φ = 2931456.

The previous prime is 11123201. The next prime is 11123221. The reversal of 11123220 is 2232111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11123196 and 11123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299 + ... + 6381.

It is an arithmetic number, because the mean of its divisors is an integer number (656460).

Almost surely, 211123220 is an apocalyptic number.

11123220 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 11123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15755040).

11123220 is an abundant number, since it is smaller than the sum of its proper divisors (20386860).

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

11123220 is a wasteful number, since it uses less digits than its factorization.

11123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11123220 is about 3335.1491720761. The cubic root of 11123220 is about 223.2253481573.

Adding to 11123220 its reverse (2232111), we get a palindrome (13355331).

The spelling of 11123220 in words is "eleven million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2083 2670 4166 5340 6249 8332 10415 12498 20830 24996 31245 41660 62490 124980 185387 370774 556161 741548 926935 1112322 1853870 2224644 2780805 3707740 5561610 11123220