Base | Representation |
---|---|
bin | 100010001010010… |
… | …0001110011100000 |
3 | 2221212211121202020 |
4 | 1010110201303200 |
5 | 4321413411112 |
6 | 305423421440 |
7 | 40255545231 |
oct | 10424416340 |
9 | 2855747666 |
10 | 1146232032 |
11 | 539022100 |
12 | 27ba54880 |
13 | 15361a00a |
14 | ac335088 |
15 | 6a96948c |
hex | 44521ce0 |
1146232032 has 144 divisors (see below), whose sum is σ = 3343422096. Its totient is φ = 343552000.
The previous prime is 1146232027. The next prime is 1146232033. The reversal of 1146232032 is 2302326411.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1146231993 and 1146232011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1146232033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172728 + ... + 1173704.
It is an arithmetic number, because the mean of its divisors is an integer number (23218209).
Almost surely, 21146232032 is an apocalyptic number.
1146232032 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 1146232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671711048).
1146232032 is an abundant number, since it is smaller than the sum of its proper divisors (2197190064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1146232032 is a wasteful number, since it uses less digits than its factorization.
1146232032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1113 (or 1094 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 1146232032 is about 33856.0486767136. The cubic root of 1146232032 is about 1046.5440517018.
Adding to 1146232032 its reverse (2302326411), we get a palindrome (3448558443).
The spelling of 1146232032 in words is "one billion, one hundred forty-six million, two hundred thirty-two thousand, thirty-two".
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