Base | Representation |
---|---|
bin | 100111100000… |
… | …0011101000000 |
3 | 1102222020110200 |
4 | 1033000131000 |
5 | 20300224412 |
6 | 2015525200 |
7 | 341020413 |
oct | 117003500 |
9 | 42866420 |
10 | 20711232 |
11 | 10766723 |
12 | 6b29800 |
13 | 43a2089 |
14 | 2a71b7a |
15 | 1c419dc |
hex | 13c0740 |
20711232 has 84 divisors (see below), whose sum is σ = 60882276. Its totient is φ = 6727680.
The previous prime is 20711227. The next prime is 20711233. The reversal of 20711232 is 23211702.
It can be written as a sum of positive squares in 2 ways, for example, as 8433216 + 12278016 = 2904^2 + 3504^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20711233) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23178 + ... + 24054.
It is an arithmetic number, because the mean of its divisors is an integer number (724789).
Almost surely, 220711232 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 20711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30441138).
20711232 is an abundant number, since it is smaller than the sum of its proper divisors (40171044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20711232 is a wasteful number, since it uses less digits than its factorization.
20711232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 936 (or 923 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 20711232 is about 4550.9594592789. The cubic root of 20711232 is about 274.6219908275.
Adding to 20711232 its reverse (23211702), we get a palindrome (43922934).
The spelling of 20711232 in words is "twenty million, seven hundred eleven thousand, two hundred thirty-two".
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