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2103000768 = 2632112314431
BaseRepresentation
bin111110101011001…
…0011111011000000
312102120011111201100
41331112103323000
513301332011033
6544402334400
7103054132401
oct17526237300
95376144640
102103000768
1198a0a8670
124a835a400
132768cb96b
1415d42b9a8
15c495b513
hex7d593ec0

2103000768 has 168 divisors, whose sum is σ = 6862242816. Its totient is φ = 609523200.

The previous prime is 2103000733. The next prime is 2103000817. The reversal of 2103000768 is 8670003012.

It is a super-2 number, since 2×21030007682 = 8845224460417179648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138513 + ... + 152943.

Almost surely, 22103000768 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 2103000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431121408).

2103000768 is an abundant number, since it is smaller than the sum of its proper divisors (4759242048).

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

2103000768 is a wasteful number, since it uses less digits than its factorization.

2103000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2103000768 is about 45858.4863247796. The cubic root of 2103000768 is about 1281.1888303995.

The spelling of 2103000768 in words is "two billion, one hundred three million, seven hundred sixty-eight", and thus it is an aban number.