Base | Representation |
---|---|
bin | 100110010101… |
… | …1111001000000 |
3 | 1101211022202012 |
4 | 1030223321000 |
5 | 20121241340 |
6 | 1554512052 |
7 | 332604341 |
oct | 114537100 |
9 | 41738665 |
10 | 20102720 |
11 | 10390520 |
12 | 6895628 |
13 | 421b101 |
14 | 29540c8 |
15 | 1b71565 |
hex | 132be40 |
20102720 has 56 divisors (see below), whose sum is σ = 52230528. Its totient is φ = 7308800.
The previous prime is 20102717. The next prime is 20102743. The reversal of 20102720 is 2720102.
It is a junction number, because it is equal to n+sod(n) for n = 20102695 and 20102704.
It is an unprimeable number.
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, 665 + ... + 6375.
It is an arithmetic number, because the mean of its divisors is an integer number (932688).
Almost surely, 220102720 is an apocalyptic number.
20102720 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 20102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26115264).
20102720 is an abundant number, since it is smaller than the sum of its proper divisors (32127808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20102720 is a wasteful number, since it uses less digits than its factorization.
20102720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5739 (or 5729 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 14.
The square root of 20102720 is about 4483.6056918511. The cubic root of 20102720 is about 271.9056766372.
Adding to 20102720 its reverse (2720102), we get a palindrome (22822822).
The spelling of 20102720 in words is "twenty million, one hundred two thousand, seven hundred twenty".
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