Search a number
-
+
5781027840 = 21035727681
BaseRepresentation
bin1010110001001001…
…10111110000000000
3112220220000122100020
411120210313300000
543314420342330
62353351253440
7263154632400
oct53044676000
915826018306
105781027840
1124a726a865
12115407a280
137118cb143
143cbacc800
1523c7d2210
hex158937c00

5781027840 has 264 divisors, whose sum is σ = 21511873872. Its totient is φ = 1321205760.

The previous prime is 5781027829. The next prime is 5781027859. The reversal of 5781027840 is 487201875.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5781027792 and 5781027801.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 748800 + ... + 756480.

Almost surely, 25781027840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5781027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755936936).

5781027840 is an abundant number, since it is smaller than the sum of its proper divisors (15730846032).

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

5781027840 is a wasteful number, since it uses less digits than its factorization.

5781027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 5781027840 is about 76033.0706995318. The cubic root of 5781027840 is about 1794.7405981916.

The spelling of 5781027840 in words is "five billion, seven hundred eighty-one million, twenty-seven thousand, eight hundred forty".