Base | Representation |
---|---|
bin | 100010000101110111100 |
3 | 2002202101200 |
4 | 10100232330 |
5 | 241221431 |
6 | 35535500 |
7 | 12331620 |
oct | 4205674 |
9 | 2082350 |
10 | 1117116 |
11 | 6a3340 |
12 | 45a590 |
13 | 301620 |
14 | 211180 |
15 | 170ee6 |
hex | 110bbc |
1117116 has 144 divisors (see below), whose sum is σ = 3913728. Its totient is φ = 259200.
The previous prime is 1117111. The next prime is 1117117. The reversal of 1117116 is 6117111.
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1117111) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36021 + ... + 36051.
21117116 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 1117116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956864).
1117116 is an abundant number, since it is smaller than the sum of its proper divisors (2796612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1117116 is a wasteful number, since it uses less digits than its factorization.
1117116 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72 (or 67 counting only the distinct ones).
The product of its digits is 42, while the sum is 18.
The square root of 1117116 is about 1056.9370842202. The cubic root of 1117116 is about 103.7606676020.
It can be divided in two parts, 111 and 7116, that added together give a palindrome (7227).
The spelling of 1117116 in words is "one million, one hundred seventeen thousand, one hundred sixteen".
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