Base | Representation |
---|---|
bin | 110000011111… |
… | …001110100100 |
3 | 212220202222010 |
4 | 300133032210 |
5 | 11223221240 |
6 | 1132234220 |
7 | 213016533 |
oct | 60371644 |
9 | 25822863 |
10 | 12710820 |
11 | 71a1911 |
12 | 430b970 |
13 | 28306c5 |
14 | 198c31a |
15 | 11b1280 |
hex | c1f3a4 |
12710820 has 48 divisors (see below), whose sum is σ = 36465408. Its totient is φ = 3306240.
The previous prime is 12710813. The next prime is 12710827. The reversal of 12710820 is 2801721.
12710820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12710813) and next prime (12710827).
It is not an unprimeable number, because it can be changed into a prime (12710827) 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, 124 + ... + 5043.
It is an arithmetic number, because the mean of its divisors is an integer number (759696).
Almost surely, 212710820 is an apocalyptic number.
12710820 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 12710820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232704).
12710820 is an abundant number, since it is smaller than the sum of its proper divisors (23754588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12710820 is a wasteful number, since it uses less digits than its factorization.
12710820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5220 (or 5218 counting only the distinct ones).
The product of its (nonzero) digits is 224, while the sum is 21.
The square root of 12710820 is about 3565.2236956466. The cubic root of 12710820 is about 233.3768943614.
Subtracting from 12710820 its reverse (2801721), we obtain a palindrome (9909099).
It can be divided in two parts, 12710 and 820, that added together give a triangular number (13530 = T164).
The spelling of 12710820 in words is "twelve million, seven hundred ten thousand, eight hundred twenty".
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