Search a number
-
+
2796726240 = 2532571122293
BaseRepresentation
bin1010011010110010…
…1010011111100000
321012220112102011100
42212230222133200
521211430214430
61141303314400
7126206531550
oct24654523740
97186472140
102796726240
111205751900
1266074ba00
133575520c9
141c7611160
151157de960
hexa6b2a7e0

2796726240 has 432 divisors, whose sum is σ = 11994169824. Its totient is φ = 580884480.

The previous prime is 2796726227. The next prime is 2796726269. The reversal of 2796726240 is 426276972.

2796726240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1218534 + ... + 1220826.

It is an arithmetic number, because the mean of its divisors is an integer number (27764282).

Almost surely, 22796726240 is an apocalyptic number.

2796726240 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 2796726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997084912).

2796726240 is an abundant number, since it is smaller than the sum of its proper divisors (9197443584).

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

2796726240 is a wasteful number, since it uses less digits than its factorization.

2796726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2796726240 is about 52884.0830496285. The cubic root of 2796726240 is about 1408.9102187429.

The spelling of 2796726240 in words is "two billion, seven hundred ninety-six million, seven hundred twenty-six thousand, two hundred forty".