Base | Representation |
---|---|
bin | 111101100001010… |
… | …011010111001000 |
3 | 2122221011011020000 |
4 | 331201103113020 |
5 | 4103211441412 |
6 | 250230203000 |
7 | 34402022124 |
oct | 7541232710 |
9 | 2587134200 |
10 | 1032140232 |
11 | 48a686262 |
12 | 2497b3460 |
13 | 135ab1386 |
14 | 9b116584 |
15 | 6092e4dc |
hex | 3d8535c8 |
1032140232 has 160 divisors (see below), whose sum is σ = 3021452280. Its totient is φ = 328872960.
The previous prime is 1032140231. The next prime is 1032140279. The reversal of 1032140232 is 2320412301.
1032140232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 973065636 + 59074596 = 31194^2 + 7686^2 .
It is a super-3 number, since 3×10321402323 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1032140231) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1407738 + ... + 1408470.
Almost surely, 21032140232 is an apocalyptic number.
1032140232 is a gapful number since it is divisible by the number (12) 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 1032140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510726140).
1032140232 is an abundant number, since it is smaller than the sum of its proper divisors (1989312048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1032140232 is a wasteful number, since it uses less digits than its factorization.
1032140232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 845 (or 832 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 1032140232 is about 32126.9393500221. The cubic root of 1032140232 is about 1010.6006400206.
Adding to 1032140232 its reverse (2320412301), we get a palindrome (3352552533).
The spelling of 1032140232 in words is "one billion, thirty-two million, one hundred forty thousand, two hundred thirty-two".
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