Search a number
-
+
11255556 = 22313233137
BaseRepresentation
bin101010111011…
…111100000100
3210011211201110
4222323330010
510340134211
61041125020
7164446014
oct52737404
923154643
1011255556
116398514
123929770
1324411c0
1416cdc44
15ec4ea6
hexabbf04

11255556 has 48 divisors (see below), whose sum is σ = 29522304. Its totient is φ = 3311616.

The previous prime is 11255549. The next prime is 11255561. The reversal of 11255556 is 65555211.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 10.

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 15 ways as a sum of consecutive naturals, for example, 2020 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (615048).

Almost surely, 211255556 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 11255556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761152).

11255556 is an abundant number, since it is smaller than the sum of its proper divisors (18266748).

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

11255556 is a wasteful number, since it uses less digits than its factorization.

11255556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3178 counting only the distinct ones).

The product of its digits is 7500, while the sum is 30.

The square root of 11255556 is about 3354.9301035938. The cubic root of 11255556 is about 224.1071181975.

It can be divided in two parts, 11255 and 556, that added together give a palindrome (11811).

The spelling of 11255556 in words is "eleven million, two hundred fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3137 3588 6274 9411 12548 18822 37644 40781 72151 81562 122343 144302 163124 216453 244686 288604 432906 489372 865812 937963 1875926 2813889 3751852 5627778 11255556