Search a number
-
+
2124486000 = 2432537131297
BaseRepresentation
bin111111010100001…
…0001010101110000
312111001121001220200
41332220101111300
513322332023000
6550451035200
7103434555510
oct17650212560
95431531820
102124486000
119a024285a
124b359bb00
1327b1b2110
14162221840
15c67a2500
hex7ea11570

2124486000 has 480 divisors, whose sum is σ = 9139498368. Its totient is φ = 447897600.

The previous prime is 2124485999. The next prime is 2124486047. The reversal of 2124486000 is 6844212.

2124486000 is a `hidden beast` number, since 2 + 12 + 4 + 48 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637352 + ... + 1638648.

Almost surely, 22124486000 is an apocalyptic number.

2124486000 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 2124486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569749184).

2124486000 is an abundant number, since it is smaller than the sum of its proper divisors (7015012368).

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

2124486000 is a wasteful number, since it uses less digits than its factorization.

2124486000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2124486000 is about 46092.1468365274. The cubic root of 2124486000 is about 1285.5371290301.

The spelling of 2124486000 in words is "two billion, one hundred twenty-four million, four hundred eighty-six thousand".