Base | Representation |
---|---|
bin | 111011110011111… |
… | …0011101110000100 |
3 | 12011212101022101121 |
4 | 1313213303232010 |
5 | 13102233033124 |
6 | 531051203324 |
7 | 100506400600 |
oct | 16747635604 |
9 | 5155338347 |
10 | 2006924164 |
11 | 93a946913 |
12 | 480146544 |
13 | 25ca2cbbb |
14 | 15077c500 |
15 | bb2ce2e4 |
hex | 779f3b84 |
2006924164 has 54 divisors (see below), whose sum is σ = 4149230526. Its totient is φ = 846901440.
The previous prime is 2006924131. The next prime is 2006924189. The reversal of 2006924164 is 4614296002.
It can be written as a sum of positive squares in only one way, i.e., 1781684100 + 225240064 = 42210^2 + 15008^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 878704 + ... + 880984.
Almost surely, 22006924164 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 2006924164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074615263).
2006924164 is an abundant number, since it is smaller than the sum of its proper divisors (2142306362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006924164 is a wasteful number, since it uses less digits than its factorization.
2006924164 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2433 (or 2357 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 34.
The square root of 2006924164 is about 44798.7071688458. The cubic root of 2006924164 is about 1261.3733585077.
The spelling of 2006924164 in words is "two billion, six million, nine hundred twenty-four thousand, one hundred sixty-four".
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