Base | Representation |
---|---|
bin | 100111100101… |
… | …0100101010000 |
3 | 1110001100101021 |
4 | 1033022211100 |
5 | 20303041340 |
6 | 2020445224 |
7 | 341252362 |
oct | 117124520 |
9 | 43040337 |
10 | 20752720 |
11 | 1079490a |
12 | 6b49814 |
13 | 43b7c21 |
14 | 2a82d32 |
15 | 1c4de4a |
hex | 13ca950 |
20752720 has 40 divisors (see below), whose sum is σ = 48601800. Its totient is φ = 8240640.
The previous prime is 20752691. The next prime is 20752727. The reversal of 20752720 is 2725702.
It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 19254544 = 1224^2 + 4388^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20752727) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11050 + ... + 12790.
It is an arithmetic number, because the mean of its divisors is an integer number (1215045).
Almost surely, 220752720 is an apocalyptic number.
20752720 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 20752720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24300900).
20752720 is an abundant number, since it is smaller than the sum of its proper divisors (27849080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20752720 is a wasteful number, since it uses less digits than its factorization.
20752720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1903 (or 1897 counting only the distinct ones).
The product of its (nonzero) digits is 1960, while the sum is 25.
The square root of 20752720 is about 4555.5153385759. The cubic root of 20752720 is about 274.8052395098.
It can be divided in two parts, 20 and 752720, that multiplied together give a square (15054400 = 38802).
The spelling of 20752720 in words is "twenty million, seven hundred fifty-two thousand, seven hundred twenty".
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