Search a number
-
+
2766060000 = 253254112127
BaseRepresentation
bin1010010011011110…
…1011100111100000
321010202211101222200
42210313223213200
521131102410000
61134250133200
7125355056604
oct24467534740
97122741880
102766060000
11119a406900
12652421200
133510a5ac2
141c350b504
15112c83500
hexa4deb9e0

2766060000 has 540 divisors, whose sum is σ = 10889214336. Its totient is φ = 665280000.

The previous prime is 2766059977. The next prime is 2766060013. The reversal of 2766060000 is 606672.

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 21779937 + ... + 21780063.

Almost surely, 22766060000 is an apocalyptic number.

2766060000 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 2766060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444607168).

2766060000 is an abundant number, since it is smaller than the sum of its proper divisors (8123154336).

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

2766060000 is a wasteful number, since it uses less digits than its factorization.

2766060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2766060000 is about 52593.3455866805. The cubic root of 2766060000 is about 1403.7416915885.

Adding to 2766060000 its reverse (606672), we get a palindrome (2766666672).

The spelling of 2766060000 in words is "two billion, seven hundred sixty-six million, sixty thousand".