Base | Representation |
---|---|
bin | 100010100001… |
… | …0011100000000 |
3 | 1021001110200100 |
4 | 1011002130000 |
5 | 14113113140 |
6 | 1443522400 |
7 | 306554421 |
oct | 105023400 |
9 | 37043610 |
10 | 18097920 |
11 | a241265 |
12 | 6089400 |
13 | 3998739 |
14 | 2591648 |
15 | 18c7530 |
hex | 1142700 |
18097920 has 108 divisors (see below), whose sum is σ = 62656776. Its totient is φ = 4823040.
The previous prime is 18097909. The next prime is 18097927. The reversal of 18097920 is 2979081.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18097927) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10735 + ... + 12305.
Almost surely, 218097920 is an apocalyptic number.
18097920 is a gapful number since it is divisible by the number (10) 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 18097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328388).
18097920 is an abundant number, since it is smaller than the sum of its proper divisors (44558856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18097920 is a wasteful number, since it uses less digits than its factorization.
18097920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1598 (or 1581 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 36.
The square root of 18097920 is about 4254.1650179559. The cubic root of 18097920 is about 262.5485080423.
The spelling of 18097920 in words is "eighteen million, ninety-seven thousand, nine hundred twenty".
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