Base | Representation |
---|---|
bin | 100111000111… |
… | …1111001000000 |
3 | 1102121010121120 |
4 | 1032033321000 |
5 | 20222343240 |
6 | 2011352240 |
7 | 336231453 |
oct | 116177100 |
9 | 42533546 |
10 | 20512320 |
11 | 10640234 |
12 | 6a52680 |
13 | 433268a |
14 | 2a1d49a |
15 | 1c02ad0 |
hex | 138fe40 |
20512320 has 112 divisors (see below), whose sum is σ = 68031360. Its totient is φ = 5226496.
The previous prime is 20512307. The next prime is 20512321. The reversal of 20512320 is 2321502.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 20512320.
It is not an unprimeable number, because it can be changed into a prime (20512321) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21616 + ... + 22544.
Almost surely, 220512320 is an apocalyptic number.
20512320 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 20512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34015680).
20512320 is an abundant number, since it is smaller than the sum of its proper divisors (47519040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20512320 is a wasteful number, since it uses less digits than its factorization.
20512320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 972 (or 962 counting only the distinct ones).
The product of its (nonzero) digits is 120, while the sum is 15.
The square root of 20512320 is about 4529.0528811221. The cubic root of 20512320 is about 273.7399988006.
Adding to 20512320 its reverse (2321502), we get a palindrome (22833822).
It can be divided in two parts, 2051 and 2320, that added together give a triangular number (4371 = T93).
The spelling of 20512320 in words is "twenty million, five hundred twelve thousand, three hundred twenty".
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