286130000 has 200 divisors, whose sum is σ = 780950016. Its totient is φ = 100800000.

The previous prime is 286129993. The next prime is 286130003. The reversal of 286130000 is 31682.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286130003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4029965 + ... + 4030035.

Almost surely, 2^286130000 is an apocalyptic number.

286130000 is a gapful number since it is divisible by the number (20) 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 286130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390475008).

286130000 is an abundant number, since it is smaller than the sum of its proper divisors (494820016).

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

286130000 is a wasteful number, since it uses less digits than its factorization.

286130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

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

The square root of 286130000 is about 16915.3776191961. The cubic root of 286130000 is about 658.9530385780.

Adding to 286130000 its reverse (31682), we get a palindrome (286161682).

The spelling of 286130000 in words is "two hundred eighty-six million, one hundred thirty thousand".