Search a number
-
+
2421126240 = 2535131033767
BaseRepresentation
bin1001000001001111…
…0111010001100000
320020201202221211020
42100103313101200
514424302014430
61040125045440
7113666143041
oct22023672140
96221687736
102421126240
111032731a85
125769b6880
132c77a48a0
1418d79c8c8
15e284ab10
hex904f7460

2421126240 has 192 divisors, whose sum is σ = 8295146496. Its totient is φ = 590026752.

The previous prime is 2421126229. The next prime is 2421126241. The reversal of 2421126240 is 426211242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2421126240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421126241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640837 + ... + 644603.

It is an arithmetic number, because the mean of its divisors is an integer number (43203888).

Almost surely, 22421126240 is an apocalyptic number.

2421126240 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 2421126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147573248).

2421126240 is an abundant number, since it is smaller than the sum of its proper divisors (5874020256).

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

2421126240 is a wasteful number, since it uses less digits than its factorization.

2421126240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2421126240 is about 49204.9412152885. The cubic root of 2421126240 is about 1342.7829295252.

Adding to 2421126240 its reverse (426211242), we get a palindrome (2847337482).

The spelling of 2421126240 in words is "two billion, four hundred twenty-one million, one hundred twenty-six thousand, two hundred forty".