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11881116 = 22321353479
BaseRepresentation
bin101101010100…
…101010011100
3211100121211100
4231110222130
511020143431
61102353100
7202662552
oct55245234
924317740
1011881116
116785505
123b8b790
1325ccb60
141813bd2
15109a4e6
hexb54a9c

11881116 has 72 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3579264.

The previous prime is 11881057. The next prime is 11881117. The reversal of 11881116 is 61118811.

11881116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11881116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24565 + ... + 25043.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 211881116 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 11881116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11881116 is an abundant number, since it is smaller than the sum of its proper divisors (21140964).

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

11881116 is a wasteful number, since it uses less digits than its factorization.

11881116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 550 counting only the distinct ones).

The product of its digits is 384, while the sum is 27.

The square root of 11881116 is about 3446.8994763410. The cubic root of 11881116 is about 228.1842923630.

Adding to 11881116 its reverse (61118811), we get a palindrome (72999927).

It can be divided in two parts, 1188 and 1116, that added together give a square (2304 = 482).

The spelling of 11881116 in words is "eleven million, eight hundred eighty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 479 636 689 954 958 1378 1437 1908 1916 2067 2756 2874 4134 4311 5748 6201 6227 8268 8622 12402 12454 17244 18681 24804 24908 25387 37362 50774 56043 74724 76161 101548 112086 152322 224172 228483 304644 330031 456966 660062 913932 990093 1320124 1980186 2970279 3960372 5940558 11881116