Search a number
-
+
2130881920 = 27519223401
BaseRepresentation
bin111111100000010…
…1010110110000000
312111111122000110121
41333000222312000
513331001210140
6551240110024
7103543124506
oct17700526600
95444560417
102130881920
119a3911142
124b5765314
1327c61139b
14163008676
15c711764a
hex7f02ad80

2130881920 has 192 divisors, whose sum is σ = 5624108640. Its totient is φ = 770457600.

The previous prime is 2130881917. The next prime is 2130881953. The reversal of 2130881920 is 291880312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5313720 + ... + 5314120.

Almost surely, 22130881920 is an apocalyptic number.

2130881920 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 2130881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812054320).

2130881920 is an abundant number, since it is smaller than the sum of its proper divisors (3493226720).

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

2130881920 is a wasteful number, since it uses less digits than its factorization.

2130881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2130881920 is about 46161.4765795030. The cubic root of 2130881920 is about 1286.8259043287.

The spelling of 2130881920 in words is "two billion, one hundred thirty million, eight hundred eighty-one thousand, nine hundred twenty".