Base | Representation |
---|---|
bin | 1000110010101111111100 |
3 | 11100002220010 |
4 | 20302233330 |
5 | 1042230040 |
6 | 121223220 |
7 | 25410114 |
oct | 10625774 |
9 | 4302803 |
10 | 2305020 |
11 | 1334883 |
12 | 931b10 |
13 | 629223 |
14 | 440044 |
15 | 307e80 |
hex | 232bfc |
2305020 has 48 divisors (see below), whose sum is σ = 6618528. Its totient is φ = 599040.
The previous prime is 2305003. The next prime is 2305027. The reversal of 2305020 is 205032.
2305020 is nontrivially palindromic in base 14.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a zygodrome in base 14.
It is a junction number, because it is equal to n+sod(n) for n = 2304987 and 2305005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2305027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992 + ... + 2928.
It is an arithmetic number, because the mean of its divisors is an integer number (137886).
22305020 is an apocalyptic number.
2305020 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 2305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309264).
2305020 is an abundant number, since it is smaller than the sum of its proper divisors (4313508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2305020 is a wasteful number, since it uses less digits than its factorization.
2305020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 990 (or 988 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 12.
The square root of 2305020 is about 1518.2292317038. The cubic root of 2305020 is about 132.0965776231.
Adding to 2305020 its sum of digits (12), we get a palindrome (2305032).
The spelling of 2305020 in words is "two million, three hundred five thousand, twenty".
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