Base | Representation |
---|---|
bin | 101010011101… |
… | …010111100000 |
3 | 202221110221200 |
4 | 222131113200 |
5 | 10322132321 |
6 | 1034321200 |
7 | 163414650 |
oct | 52352740 |
9 | 22843850 |
10 | 11130336 |
11 | 6312428 |
12 | 3889200 |
13 | 23c91c9 |
14 | 169a360 |
15 | e9cd26 |
hex | a9d5e0 |
11130336 has 72 divisors (see below), whose sum is σ = 36180144. Its totient is φ = 3179520.
The previous prime is 11130331. The next prime is 11130337. The reversal of 11130336 is 63303111.
11130336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11130331) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745 + ... + 4776.
It is an arithmetic number, because the mean of its divisors is an integer number (502502).
Almost surely, 211130336 is an apocalyptic number.
11130336 is a gapful number since it is divisible by the number (16) 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 11130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090072).
11130336 is an abundant number, since it is smaller than the sum of its proper divisors (25049808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11130336 is a wasteful number, since it uses less digits than its factorization.
11130336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5544 (or 5533 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
The square root of 11130336 is about 3336.2158203570. The cubic root of 11130336 is about 223.2729402802.
Adding to 11130336 its reverse (63303111), we get a palindrome (74433447).
The spelling of 11130336 in words is "eleven million, one hundred thirty thousand, three hundred thirty-six".
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