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858130000 = 24547132341
BaseRepresentation
bin110011001001100…
…000011001010000
32012210201112001121
4303021200121100
53224140130000
6221052412024
730156661510
oct6311403120
92183645047
10858130000
11400434852
121bb477014
13108a26940
1481d7b840
155050ab1a
hex33260650

858130000 has 400 divisors, whose sum is σ = 2733325056. Its totient is φ = 253440000.

The previous prime is 858129971. The next prime is 858130019. The reversal of 858130000 is 31858.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20929980 + ... + 20930020.

Almost surely, 2858130000 is an apocalyptic number.

858130000 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 858130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366662528).

858130000 is an abundant number, since it is smaller than the sum of its proper divisors (1875195056).

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

858130000 is a wasteful number, since it uses less digits than its factorization.

858130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 858130000 is about 29293.8560111161. The cubic root of 858130000 is about 950.2787732196.

Adding to 858130000 its reverse (31858), we get a palindrome (858161858).

The spelling of 858130000 in words is "eight hundred fifty-eight million, one hundred thirty thousand".