Base | Representation |
---|---|
bin | 11000000101110… |
… | …00101011000100 |
3 | 112002020212210000 |
4 | 30002320223010 |
5 | 403213124022 |
6 | 32015201300 |
7 | 5002451205 |
oct | 1402705304 |
9 | 462225700 |
10 | 202083012 |
11 | a4085a5a |
12 | 57816230 |
13 | 32b36461 |
14 | 1cba55ac |
15 | 12b1b6ac |
hex | c0b8ac4 |
202083012 has 120 divisors (see below), whose sum is σ = 589105440. Its totient is φ = 60030720.
The previous prime is 202082987. The next prime is 202083019. The reversal of 202083012 is 210380202.
It is a happy number.
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 (202083019) 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 39 ways as a sum of consecutive naturals, for example, 103687 + ... + 105617.
It is an arithmetic number, because the mean of its divisors is an integer number (4909212).
Almost surely, 2202083012 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 202083012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294552720).
202083012 is an abundant number, since it is smaller than the sum of its proper divisors (387022428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202083012 is a wasteful number, since it uses less digits than its factorization.
202083012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1983 (or 1972 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 202083012 is about 14215.5904555527. The cubic root of 202083012 is about 586.8267944155.
It can be divided in two parts, 20208 and 3012, that added together give a triangular number (23220 = T215).
The spelling of 202083012 in words is "two hundred two million, eighty-three thousand, twelve".
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