Base | Representation |
---|---|
bin | 101110111111… |
… | …110100010100 |
3 | 212011220220001 |
4 | 232333310110 |
5 | 11123220040 |
6 | 1120021044 |
7 | 206501266 |
oct | 56776424 |
9 | 25156801 |
10 | 12320020 |
11 | 6a55239 |
12 | 4161784 |
13 | 272486b |
14 | 18c9b36 |
15 | 113559a |
hex | bbfd14 |
12320020 has 36 divisors (see below), whose sum is σ = 26775252. Its totient is φ = 4761600.
The previous prime is 12320017. The next prime is 12320023. The reversal of 12320020 is 2002321.
It is an interprime number because it is at equal distance from previous prime (12320017) and next prime (12320023).
It can be written as a sum of positive squares in 2 ways, for example, as 8133904 + 4186116 = 2852^2 + 2046^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a plaindrome in base 15.
It is a junction number, because it is equal to n+sod(n) for n = 12319979 and 12320006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12320023) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18900 + ... + 19540.
It is an arithmetic number, because the mean of its divisors is an integer number (743757).
Almost surely, 212320020 is an apocalyptic number.
12320020 is a gapful number since it is divisible by the number (10) 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 12320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387626).
12320020 is an abundant number, since it is smaller than the sum of its proper divisors (14455232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12320020 is a wasteful number, since it uses less digits than its factorization.
12320020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 712 (or 679 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 12320020 is about 3509.9886039701. The cubic root of 12320020 is about 230.9601950366.
Adding to 12320020 its reverse (2002321), we get a palindrome (14322341).
The spelling of 12320020 in words is "twelve million, three hundred twenty thousand, twenty".
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