Search a number
-
+
11116056 = 2337127521
BaseRepresentation
bin101010011001…
…111000011000
3202220202100210
4222121320120
510321203211
61034131120
7163325220
oct52317030
922822323
1011116056
116302726
123880aa0
1323c2863
141695080
15e989a6
hexa99e18

11116056 has 64 divisors (see below), whose sum is σ = 32071680. Its totient is φ = 3144960.

The previous prime is 11116031. The next prime is 11116057. The reversal of 11116056 is 65061111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116057) 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, 21076 + ... + 21596.

It is an arithmetic number, because the mean of its divisors is an integer number (501120).

Almost surely, 211116056 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 11116056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035840).

11116056 is an abundant number, since it is smaller than the sum of its proper divisors (20955624).

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

11116056 is a wasteful number, since it uses less digits than its factorization.

11116056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11116056 is about 3334.0749841598. The cubic root of 11116056 is about 223.1774145002.

Adding to 11116056 its reverse (65061111), we get a palindrome (76177167).

The spelling of 11116056 in words is "eleven million, one hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 521 762 889 1016 1042 1524 1563 1778 2084 2667 3048 3126 3556 3647 4168 5334 6252 7112 7294 10668 10941 12504 14588 21336 21882 29176 43764 66167 87528 132334 198501 264668 397002 463169 529336 794004 926338 1389507 1588008 1852676 2779014 3705352 5558028 11116056