Base | Representation |
---|---|
bin | 110000110000… |
… | …001000000000 |
3 | 220001021220112 |
4 | 300300020000 |
5 | 11232430112 |
6 | 1133530452 |
7 | 213425366 |
oct | 60601000 |
9 | 26037815 |
10 | 12780032 |
11 | 7239911 |
12 | 4343a28 |
13 | 2856065 |
14 | 19a9636 |
15 | 11c6a22 |
hex | c30200 |
12780032 has 40 divisors (see below), whose sum is σ = 25881900. Its totient is φ = 6303744.
The previous prime is 12780017. The next prime is 12780113. The reversal of 12780032 is 23008721.
It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 1597696 = 3344^2 + 1264^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55694 + ... + 55922.
Almost surely, 212780032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940950).
12780032 is an abundant number, since it is smaller than the sum of its proper divisors (13101868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12780032 is an equidigital number, since it uses as much as digits as its factorization.
12780032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 356 (or 340 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 23.
The square root of 12780032 is about 3574.9170619750. The cubic root of 12780032 is about 233.7997166119.
Adding to 12780032 its reverse (23008721), we get a palindrome (35788753).
The spelling of 12780032 in words is "twelve million, seven hundred eighty thousand, thirty-two".
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