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11216384 = 29191153
BaseRepresentation
bin101010110010…
…011000000000
3210002211222122
4222302120000
510332411014
61040223412
7164223554
oct52623000
923084878
1011216384
116371043
12390ab68
13242941a
1416bd864
15eb858e
hexab2600

11216384 has 40 divisors (see below), whose sum is σ = 23610840. Its totient is φ = 5308416.

The previous prime is 11216383. The next prime is 11216393. The reversal of 11216384 is 48361211.

It is a super-3 number, since 3×112163843 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9152 + ... + 10304.

It is an arithmetic number, because the mean of its divisors is an integer number (590271).

Almost surely, 211216384 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 11216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805420).

11216384 is an abundant number, since it is smaller than the sum of its proper divisors (12394456).

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

11216384 is an equidigital number, since it uses as much as digits as its factorization.

11216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 11216384 is about 3349.0870397767. The cubic root of 11216384 is about 223.8468340681.

Adding to 11216384 its reverse (48361211), we get a palindrome (59577595).

The spelling of 11216384 in words is "eleven million, two hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1153 1216 2306 2432 4612 4864 9224 9728 18448 21907 36896 43814 73792 87628 147584 175256 295168 350512 590336 701024 1402048 2804096 5608192 11216384