Base | Representation |
---|---|
bin | 101111101100000… |
… | …1000000100000100 |
3 | 11010111222112212100 |
4 | 1133120020010010 |
5 | 11234120110004 |
6 | 422440552100 |
7 | 54440064342 |
oct | 13730100404 |
9 | 4114875770 |
10 | 1600160004 |
11 | 751280993 |
12 | 387a82630 |
13 | 1c6690851 |
14 | 112736992 |
15 | 95731739 |
hex | 5f608104 |
1600160004 has 81 divisors (see below), whose sum is σ = 4151301973. Its totient is φ = 519705984.
The previous prime is 1600159987. The next prime is 1600160017. The reversal of 1600160004 is 4000610061.
The square root of 1600160004 is 40002.
It is a perfect power (a square), and thus also a powerful number.
1600160004 is a `hidden beast` number, since 1 + 60 + 0 + 1 + 600 + 0 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 28196100 + 1571963904 = 5310^2 + 39648^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 14160652 + ... + 14160764.
Almost surely, 21600160004 is an apocalyptic number.
1600160004 is the 40002-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1600160004
1600160004 is an abundant number, since it is smaller than the sum of its proper divisors (2551141969).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1600160004 is a wasteful number, since it uses less digits than its factorization.
1600160004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 354 (or 177 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The cubic root of 1600160004 is about 1169.6460818634.
Multiplying 1600160004 by its product of nonzero digits (144), we get a square (230423040576 = 4800242).
Adding to 1600160004 its reverse (4000610061), we get a palindrome (5600770065).
It can be divided in two parts, 1600 and 160004, that added together give a square (161604 = 4022).
The spelling of 1600160004 in words is "one billion, six hundred million, one hundred sixty thousand, four".
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