Base | Representation |
---|---|
bin | 100100000100… |
… | …1101101000000 |
3 | 1022120221021200 |
4 | 1020021231000 |
5 | 14320222422 |
6 | 1513221200 |
7 | 316524120 |
oct | 110115500 |
9 | 38527250 |
10 | 18914112 |
11 | a7494a8 |
12 | 6401800 |
13 | 3bc30a9 |
14 | 2724c80 |
15 | 19d92ac |
hex | 1209b40 |
18914112 has 84 divisors (see below), whose sum is σ = 61971936. Its totient is φ = 5402880.
The previous prime is 18914111. The next prime is 18914113. The reversal of 18914112 is 21141981.
It is an interprime number because it is at equal distance from previous prime (18914111) and next prime (18914113).
It is a tau number, because it is divible by the number of its divisors (84).
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 (18914111) 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, 1687 + ... + 6377.
Almost surely, 218914112 is an apocalyptic number.
18914112 is a gapful number since it is divisible by the number (12) 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 18914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30985968).
18914112 is an abundant number, since it is smaller than the sum of its proper divisors (43057824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18914112 is a wasteful number, since it uses less digits than its factorization.
18914112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4716 (or 4703 counting only the distinct ones).
The product of its digits is 576, while the sum is 27.
The square root of 18914112 is about 4349.0357551991. The cubic root of 18914112 is about 266.4374808612.
The spelling of 18914112 in words is "eighteen million, nine hundred fourteen thousand, one hundred twelve".
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