Base | Representation |
---|---|
bin | 100111000111… |
… | …0110011100000 |
3 | 1102120220111211 |
4 | 1032032303200 |
5 | 20222222442 |
6 | 2011315504 |
7 | 336212500 |
oct | 116166340 |
9 | 42526454 |
10 | 20507872 |
11 | 10637960 |
12 | 6a4bb94 |
13 | 4330648 |
14 | 2a1ba00 |
15 | 1c01617 |
hex | 138ece0 |
20507872 has 144 divisors (see below), whose sum is σ = 54295920. Its totient is φ = 7526400.
The previous prime is 20507867. The next prime is 20507891. The reversal of 20507872 is 27870502.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500172 + ... + 500212.
It is an arithmetic number, because the mean of its divisors is an integer number (377055).
Almost surely, 220507872 is an apocalyptic number.
20507872 is a gapful number since it is divisible by the number (22) 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 20507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27147960).
20507872 is an abundant number, since it is smaller than the sum of its proper divisors (33788048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20507872 is a wasteful number, since it uses less digits than its factorization.
20507872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 7840, while the sum is 31.
The square root of 20507872 is about 4528.5618026036. The cubic root of 20507872 is about 273.7202109603.
The spelling of 20507872 in words is "twenty million, five hundred seven thousand, eight hundred seventy-two".
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