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11116576 = 253741229
BaseRepresentation
bin101010011010…
…000000100000
3202220210002001
4222122000200
510321212301
61034133344
7163326562
oct52320040
922823061
1011116576
116303059
123881254
1323c2b73
141695332
15e98c01
hexa9a020

11116576 has 48 divisors (see below), whose sum is σ = 23126040. Its totient is φ = 5253120.

The previous prime is 11116571. The next prime is 11116597. The reversal of 11116576 is 67561111.

11116576 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 10732176 + 384400 = 3276^2 + 620^2 .

It is not an unprimeable number, because it can be changed into a prime (11116571) 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 7 ways as a sum of consecutive naturals, for example, 48430 + ... + 48658.

Almost surely, 211116576 is an apocalyptic number.

11116576 is a gapful number since it is divisible by the number (16) 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 11116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563020).

11116576 is an abundant number, since it is smaller than the sum of its proper divisors (12009464).

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

11116576 is a wasteful number, since it uses less digits than its factorization.

11116576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 1260, while the sum is 28.

The square root of 11116576 is about 3334.1529658970. The cubic root of 11116576 is about 223.1808944648.

Adding to 11116576 its reverse (67561111), we get a palindrome (78677687).

The spelling of 11116576 in words is "eleven million, one hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 229 296 328 458 592 656 916 1184 1312 1517 1832 3034 3664 6068 7328 8473 9389 12136 16946 18778 24272 33892 37556 48544 67784 75112 135568 150224 271136 300448 347393 694786 1389572 2779144 5558288 11116576