Search a number
-
+
2011134840 = 23351113233503
BaseRepresentation
bin111011111011111…
…0111101101111000
312012011022020100120
41313313313231320
513104322303330
6531321333240
7100560235611
oct16767675570
95164266316
102011134840
11942262410
12481637220
13260875620
14151156c08
15bb861c10
hex77df7b78

2011134840 has 256 divisors, whose sum is σ = 7132769280. Its totient is φ = 447221760.

The previous prime is 2011134821. The next prime is 2011134847. The reversal of 2011134840 is 484311102.

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 2011134840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011134847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3998029 + ... + 3998531.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 22011134840 is an apocalyptic number.

2011134840 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 2011134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2011134840 is an abundant number, since it is smaller than the sum of its proper divisors (5121634440).

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

2011134840 is a wasteful number, since it uses less digits than its factorization.

2011134840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2011134840 is about 44845.6780526284. The cubic root of 2011134840 is about 1262.2548939590.

Adding to 2011134840 its reverse (484311102), we get a palindrome (2495445942).

The spelling of 2011134840 in words is "two billion, eleven million, one hundred thirty-four thousand, eight hundred forty".