Base | Representation |
---|---|
bin | 100110010010… |
… | …0100100000000 |
3 | 1101202210120111 |
4 | 1030210210000 |
5 | 20114311304 |
6 | 1554121104 |
7 | 332421001 |
oct | 114444400 |
9 | 41683514 |
10 | 20072704 |
11 | 1036aa13 |
12 | 6880194 |
13 | 420a552 |
14 | 29471a8 |
15 | 1b67704 |
hex | 1324900 |
20072704 has 36 divisors (see below), whose sum is σ = 40563180. Its totient is φ = 9912320.
The previous prime is 20072681. The next prime is 20072707. The reversal of 20072704 is 40727002.
It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 16386304 = 1920^2 + 4048^2 .
It is a zygodrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (20072707) 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 3 ways as a sum of consecutive naturals, for example, 22344 + ... + 23224.
It is an arithmetic number, because the mean of its divisors is an integer number (1126755).
Almost surely, 220072704 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 20072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20281590).
20072704 is an abundant number, since it is smaller than the sum of its proper divisors (20490476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20072704 is an frugal number, since it uses more digits than its factorization.
20072704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 986 (or 972 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 22.
The square root of 20072704 is about 4480.2571354778. The cubic root of 20072704 is about 271.7702789358.
Adding to 20072704 its reverse (40727002), we get a palindrome (60799706).
The spelling of 20072704 in words is "twenty million, seventy-two thousand, seven hundred four".
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