Base | Representation |
---|---|
bin | 100101100110011000000 |
3 | 2022121002000 |
4 | 10230303000 |
5 | 303411224 |
6 | 42224000 |
7 | 13321011 |
oct | 4546300 |
9 | 2277060 |
10 | 1232064 |
11 | 771739 |
12 | 4b5000 |
13 | 341a42 |
14 | 241008 |
15 | 1950c9 |
hex | 12ccc0 |
1232064 has 112 divisors (see below), whose sum is σ = 3901440. Its totient is φ = 380160.
The previous prime is 1232003. The next prime is 1232069. The reversal of 1232064 is 4602321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1232069) 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, 39729 + ... + 39759.
21232064 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 1232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950720).
1232064 is an abundant number, since it is smaller than the sum of its proper divisors (2669376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1232064 is a wasteful number, since it uses less digits than its factorization.
1232064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1232064 is about 1109.9837836653. The cubic root of 1232064 is about 107.2040245018.
1232064 divided by its product of nonzero digits (288) gives a triangular number (4278 = T92).
Adding to 1232064 its reverse (4602321), we get a palindrome (5834385).
It can be divided in two parts, 123 and 2064, that added together give a 7-th power (2187 = 37).
The spelling of 1232064 in words is "one million, two hundred thirty-two thousand, sixty-four".
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