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6860000000 = 285773
BaseRepresentation
bin1100110001110001…
…10100101100000000
3122201002022002220002
412120320310230000
5103022130000000
63052413335132
7331666016000
oct63070645400
918632262802
106860000000
112a00322597
1213b54974a8
138542c88c9
14491116000
152a23b28d5
hex198e34b00

6860000000 has 288 divisors, whose sum is σ = 19960886400. Its totient is φ = 2352000000.

The previous prime is 6859999981. The next prime is 6860000003. The reversal of 6860000000 is 686.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (6860000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979999997 + ... + 980000003.

Almost surely, 26860000000 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 6860000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980443200).

6860000000 is an abundant number, since it is smaller than the sum of its proper divisors (13100886400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6860000000 is an frugal number, since it uses more digits than its factorization.

6860000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6860000000 is about 82825.1169633946. The cubic root of 6860000000 is about 1900.0923316164.

6860000000 divided by its sum of digits (20) gives a cube (343000000 = 7003).

Adding to 6860000000 its reverse (686), we get a palindrome (6860000686).

6860000000 divided by its reverse (686) gives a 7-th power (10000000 = 107).

The spelling of 6860000000 in words is "six billion, eight hundred sixty million", and thus it is an aban number.