Base | Representation |
---|---|
bin | 100110010101… |
… | …0101100000000 |
3 | 1101211001222200 |
4 | 1030222230000 |
5 | 20121112132 |
6 | 1554433200 |
7 | 332554101 |
oct | 114525400 |
9 | 41731880 |
10 | 20097792 |
11 | 10387850 |
12 | 6892800 |
13 | 4218ab0 |
14 | 29523a8 |
15 | 1b6ed7c |
hex | 132ab00 |
20097792 has 216 divisors, whose sum is σ = 69193488. Its totient is φ = 5529600.
The previous prime is 20097787. The next prime is 20097793. The reversal of 20097792 is 29779002.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (20097793) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329442 + ... + 329502.
Almost surely, 220097792 is an apocalyptic number.
20097792 is a gapful number since it is divisible by the number (22) 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 20097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34596744).
20097792 is an abundant number, since it is smaller than the sum of its proper divisors (49095696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20097792 is a wasteful number, since it uses less digits than its factorization.
20097792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The square root of 20097792 is about 4483.0561004743. The cubic root of 20097792 is about 271.8834564155.
It can be divided in two parts, 2009 and 7792, that added together give a square (9801 = 992).
The spelling of 20097792 in words is "twenty million, ninety-seven thousand, seven hundred ninety-two".
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