Base | Representation |
---|---|
bin | 1010000100111011… |
… | …00000110010000000 |
3 | 111222000212110211101 |
4 | 11002131200302000 |
5 | 42034430000000 |
6 | 2252455024144 |
7 | 251031145516 |
oct | 50235406200 |
9 | 14860773741 |
10 | 5410000000 |
11 | 2326893089 |
12 | 106b96b054 |
13 | 682a91a42 |
14 | 39470a4b6 |
15 | 219e42e6a |
hex | 142760c80 |
5410000000 has 128 divisors (see below), whose sum is σ = 13497035760. Its totient is φ = 2160000000.
The previous prime is 5409999983. The next prime is 5410000007. The reversal of 5410000000 is 145.
It can be written as a sum of positive squares in 8 ways, for example, as 5111678016 + 298321984 = 71496^2 + 17272^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a nialpdrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (5410000007) 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 15 ways as a sum of consecutive naturals, for example, 9999730 + ... + 10000270.
Almost surely, 25410000000 is an apocalyptic number.
5410000000 is a gapful number since it is divisible by the number (50) 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 5410000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748517880).
5410000000 is an abundant number, since it is smaller than the sum of its proper divisors (8087035760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5410000000 is an frugal number, since it uses more digits than its factorization.
5410000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 590 (or 548 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 10.
The square root of 5410000000 is about 73552.7021937332. The cubic root of 5410000000 is about 1755.4929446476.
Adding to 5410000000 its reverse (145), we get a palindrome (5410000145).
The spelling of 5410000000 in words is "five billion, four hundred ten million", and thus it is an aban number.
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