Base | Representation |
---|---|
bin | 100110101110… |
… | …0100111110000 |
3 | 1102012110112210 |
4 | 1031130213300 |
5 | 20144133240 |
6 | 2003052120 |
7 | 334365303 |
oct | 115344760 |
9 | 42173483 |
10 | 20302320 |
11 | 10507485 |
12 | 6971040 |
13 | 428ac0c |
14 | 29a6b3a |
15 | 1bb0780 |
hex | 135c9f0 |
20302320 has 80 divisors (see below), whose sum is σ = 65129760. Its totient is φ = 5225472.
The previous prime is 20302319. The next prime is 20302327. The reversal of 20302320 is 2320302.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 20302296 and 20302305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20302327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502 + ... + 8418.
It is an arithmetic number, because the mean of its divisors is an integer number (814122).
Almost surely, 220302320 is an apocalyptic number.
20302320 is a gapful number since it is divisible by the number (20) 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 20302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32564880).
20302320 is an abundant number, since it is smaller than the sum of its proper divisors (44827440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20302320 is a wasteful number, since it uses less digits than its factorization.
20302320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2962 (or 2956 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 12.
The square root of 20302320 is about 4505.8095831937. The cubic root of 20302320 is about 272.8026321042.
Adding to 20302320 its reverse (2320302), we get a palindrome (22622622).
The spelling of 20302320 in words is "twenty million, three hundred two thousand, three hundred twenty".
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