Base | Representation |
---|---|
bin | 100110110111… |
… | …1101010000000 |
3 | 1102100102111111 |
4 | 1031233222000 |
5 | 20204132123 |
6 | 2004453104 |
7 | 335141515 |
oct | 115575200 |
9 | 42312444 |
10 | 20380288 |
11 | 10560015 |
12 | 69aa194 |
13 | 42b7556 |
14 | 29c730c |
15 | 1bc890d |
hex | 136fa80 |
20380288 has 32 divisors (see below), whose sum is σ = 41080500. Its totient is φ = 10070016.
The previous prime is 20380271. The next prime is 20380289. The reversal of 20380288 is 88208302.
It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 238144 = 4488^2 + 488^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a super-2 number, since 2×203802882 = 830712277925888, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (20380289) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10498 + ... + 12286.
Almost surely, 220380288 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 20380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540250).
20380288 is an abundant number, since it is smaller than the sum of its proper divisors (20700212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20380288 is an equidigital number, since it uses as much as digits as its factorization.
20380288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1892 (or 1880 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 31.
The square root of 20380288 is about 4514.4532337815. The cubic root of 20380288 is about 273.1514051451.
The spelling of 20380288 in words is "twenty million, three hundred eighty thousand, two hundred eighty-eight".
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