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11121264 = 24327111759
BaseRepresentation
bin101010011011…
…001001110000
3202221000111200
4222123021300
510321340024
61034211200
7163346340
oct52331160
922830450
1011121264
116306630
123883b00
1323c503b
141696d20
15e9a2c9
hexa9b270

11121264 has 240 divisors, whose sum is σ = 41783040. Its totient is φ = 2672640.

The previous prime is 11121223. The next prime is 11121307. The reversal of 11121264 is 46212111.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188467 + ... + 188525.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 211121264 is an apocalyptic number.

11121264 is a gapful number since it is divisible by the number (14) 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 11121264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

11121264 is an abundant number, since it is smaller than the sum of its proper divisors (30661776).

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

11121264 is a wasteful number, since it uses less digits than its factorization.

11121264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 11121264 is about 3334.8559189266. The cubic root of 11121264 is about 223.2122627864.

Adding to 11121264 its reverse (46212111), we get a palindrome (57333375).

The spelling of 11121264 in words is "eleven million, one hundred twenty-one thousand, two hundred sixty-four".