Base | Representation |
---|---|
bin | 110000001100… |
… | …000000000000 |
3 | 212202202221020 |
4 | 300030000000 |
5 | 11213211224 |
6 | 1130425440 |
7 | 212241114 |
oct | 60140000 |
9 | 25682836 |
10 | 12632064 |
11 | 7148725 |
12 | 4292280 |
13 | 28038c3 |
14 | 196b744 |
15 | 1197c79 |
hex | c0c000 |
12632064 has 60 divisors (see below), whose sum is σ = 33815544. Its totient is φ = 4194304.
The previous prime is 12632057. The next prime is 12632089. The reversal of 12632064 is 46023621.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a zygodrome in base 2.
It is an unprimeable number.
In principle, a polygon with 12632064 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49024 + ... + 49280.
Almost surely, 212632064 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 12632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907772).
12632064 is an abundant number, since it is smaller than the sum of its proper divisors (21183480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12632064 is an frugal number, since it uses more digits than its factorization.
12632064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 262 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 12632064 is about 3554.1615044902. The cubic root of 12632064 is about 232.8938958278.
Adding to 12632064 its reverse (46023621), we get a palindrome (58655685).
The spelling of 12632064 in words is "twelve million, six hundred thirty-two thousand, sixty-four".
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