Base | Representation |
---|---|
bin | 110010101010011… |
… | …1111001010100000 |
3 | 11101110211222011101 |
4 | 1211110333022200 |
5 | 11440200003131 |
6 | 440404524144 |
7 | 60061523302 |
oct | 14524771240 |
9 | 4343758141 |
10 | 1700000416 |
11 | 7a2673524 |
12 | 3b53b0654 |
13 | 21127980a |
14 | 121ac5972 |
15 | 9e3a3c61 |
hex | 6553f2a0 |
1700000416 has 48 divisors (see below), whose sum is σ = 3482627400. Its totient is φ = 815868928.
The previous prime is 1700000389. The next prime is 1700000429. The reversal of 1700000416 is 6140000071.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 1503888400 + 196112016 = 38780^2 + 14004^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1700000393 and 1700000402.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155250 + ... + 165838.
Almost surely, 21700000416 is an apocalyptic number.
1700000416 is a gapful number since it is divisible by the number (16) 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 1700000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741313700).
1700000416 is an abundant number, since it is smaller than the sum of its proper divisors (1782626984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1700000416 is a wasteful number, since it uses less digits than its factorization.
1700000416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10801 (or 10793 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 19.
The square root of 1700000416 is about 41231.0613009173. The cubic root of 1700000416 is about 1193.4832892781.
Adding to 1700000416 its reverse (6140000071), we get a palindrome (7840000487).
It can be divided in two parts, 1700000 and 416, that added together give a square (1700416 = 13042).
The spelling of 1700000416 in words is "one billion, seven hundred million, four hundred sixteen", and thus it is an aban number.
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