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11418112 = 2929769
BaseRepresentation
bin101011100011…
…101000000000
3210111002201001
4223203220000
510410334422
61044421344
7166023646
oct53435000
923432631
1011418112
116499662
1239a7854
13249a1a4
141733196
151008227
hexae3a00

11418112 has 40 divisors (see below), whose sum is σ = 23631300. Its totient is φ = 5505024.

The previous prime is 11418109. The next prime is 11418119. The reversal of 11418112 is 21181411.

Adding to 11418112 its reverse (21181411), we get a palindrome (32599523).

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 20736 = 3376^2 + 144^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11418112.

It is not an unprimeable number, because it can be changed into a prime (11418119) 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, 14464 + ... + 15232.

Almost surely, 211418112 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 11418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815650).

11418112 is an abundant number, since it is smaller than the sum of its proper divisors (12213188).

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

11418112 is an frugal number, since it uses more digits than its factorization.

11418112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

The square root of 11418112 is about 3379.0696944573. The cubic root of 11418112 is about 225.1808389777.

The spelling of 11418112 in words is "eleven million, four hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 769 928 1538 1856 3076 3712 6152 7424 12304 14848 22301 24608 44602 49216 89204 98432 178408 196864 356816 393728 713632 1427264 2854528 5709056 11418112