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11136216 = 2337135099
BaseRepresentation
bin101010011110…
…110011011000
3202221210000110
4222132303120
510322324331
61034404320
7163441050
oct52366330
922853013
1011136216
116316893
1238906a0
1323cbaa0
14169c560
15e9e946
hexa9ecd8

11136216 has 64 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 2936448.

The previous prime is 11136211. The next prime is 11136217. The reversal of 11136216 is 61263111.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11136192 and 11136201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136211) by changing a digit.

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, 366 + ... + 4733.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 211136216 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 11136216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

11136216 is an abundant number, since it is smaller than the sum of its proper divisors (23135784).

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

11136216 is a wasteful number, since it uses less digits than its factorization.

11136216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5124 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 11136216 is about 3337.0969419542. The cubic root of 11136216 is about 223.3122506769.

Adding to 11136216 its reverse (61263111), we get a palindrome (72399327).

The spelling of 11136216 in words is "eleven million, one hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 5099 10198 15297 20396 30594 35693 40792 61188 66287 71386 107079 122376 132574 142772 198861 214158 265148 285544 397722 428316 464009 530296 795444 856632 928018 1392027 1590888 1856036 2784054 3712072 5568108 11136216