Search a number
-
+
11220696 = 23321011543
BaseRepresentation
bin101010110011…
…011011011000
3210010001220100
4222303123120
510333030241
61040255400
7164242254
oct52633330
923101810
1011220696
116374303
123911560
13242b386
1416c1264
15eb99b6
hexab36d8

11220696 has 48 divisors (see below), whose sum is σ = 30710160. Its totient is φ = 3700800.

The previous prime is 11220689. The next prime is 11220707. The reversal of 11220696 is 69602211.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6501 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (639795).

Almost surely, 211220696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355080).

11220696 is an abundant number, since it is smaller than the sum of its proper divisors (19489464).

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

11220696 is a wasteful number, since it uses less digits than its factorization.

11220696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11220696 is about 3349.7307354473. The cubic root of 11220696 is about 223.8755154413.

The spelling of 11220696 in words is "eleven million, two hundred twenty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1543 1818 2424 3086 3636 4629 6172 7272 9258 12344 13887 18516 27774 37032 55548 111096 155843 311686 467529 623372 935058 1246744 1402587 1870116 2805174 3740232 5610348 11220696