Search a number
-
+
11011716 = 22321719947
BaseRepresentation
bin101010000000…
…011010000100
3202201110020100
4222000122010
510304333331
61032004100
7162412062
oct52003204
922643210
1011011716
1162412a1
123830630
132387211
141669032
15e77ae6
hexa80684

11011716 has 72 divisors (see below), whose sum is σ = 31056480. Its totient is φ = 3269376.

The previous prime is 11011711. The next prime is 11011747. The reversal of 11011716 is 61711011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11011711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11155 + ... + 12101.

It is an arithmetic number, because the mean of its divisors is an integer number (431340).

Almost surely, 211011716 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 11011716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528240).

11011716 is an abundant number, since it is smaller than the sum of its proper divisors (20044764).

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

11011716 is a wasteful number, since it uses less digits than its factorization.

11011716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 11011716 is about 3318.3905737571. The cubic root of 11011716 is about 222.4769390736.

Adding to 11011716 its reverse (61711011), we get a palindrome (72722727).

The spelling of 11011716 in words is "eleven million, eleven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 947 969 1292 1894 1938 2841 2907 3788 3876 5682 5814 8523 11364 11628 16099 17046 17993 32198 34092 35986 48297 53979 64396 71972 96594 107958 144891 161937 193188 215916 289782 305881 323874 579564 611762 647748 917643 1223524 1835286 2752929 3670572 5505858 11011716