Base | Representation |
---|---|
bin | 110011010001100… |
… | …011100010000000 |
3 | 2012221200201102202 |
4 | 303101203202000 |
5 | 3230210140000 |
6 | 221205532332 |
7 | 30213630224 |
oct | 6321434200 |
9 | 2187621382 |
10 | 860240000 |
11 | 401646054 |
12 | 2001140a8 |
13 | 1092b5169 |
14 | 8236a784 |
15 | 507c5dd5 |
hex | 33463880 |
860240000 has 80 divisors (see below), whose sum is σ = 2141712870. Its totient is φ = 344064000.
The previous prime is 860239981. The next prime is 860240009. The reversal of 860240000 is 42068.
It can be written as a sum of positive squares in 5 ways, for example, as 121705024 + 738534976 = 11032^2 + 27176^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (860240009) 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 9 ways as a sum of consecutive naturals, for example, 74624 + ... + 85376.
Almost surely, 2860240000 is an apocalyptic number.
860240000 is a gapful number since it is divisible by the number (80) 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 860240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070856435).
860240000 is an abundant number, since it is smaller than the sum of its proper divisors (1281472870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
860240000 is an equidigital number, since it uses as much as digits as its factorization.
860240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10787 (or 10760 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 860240000 is about 29329.8482778210. The cubic root of 860240000 is about 951.0569952679.
Adding to 860240000 its reverse (42068), we get a palindrome (860282068).
The spelling of 860240000 in words is "eight hundred sixty million, two hundred forty thousand".
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