Search a number
-
+
5365925760 = 273513223719
BaseRepresentation
bin1001111111101010…
…11000011110000000
3111211221221021100010
410333311120132000
541442134111020
62244242224520
7246654421266
oct47765303600
914757837303
105365925760
112303a1a498
121059055140
136768cc900
1438c916436
15216138de0
hex13fd58780

5365925760 has 384 divisors, whose sum is σ = 19352908800. Its totient is φ = 1261658112.

The previous prime is 5365925759. The next prime is 5365925771. The reversal of 5365925760 is 675295635.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7462681 + ... + 7463399.

It is an arithmetic number, because the mean of its divisors is an integer number (50398200).

Almost surely, 25365925760 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 5365925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676454400).

5365925760 is an abundant number, since it is smaller than the sum of its proper divisors (13986983040).

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

5365925760 is a wasteful number, since it uses less digits than its factorization.

5365925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The square root of 5365925760 is about 73252.4795484767. The cubic root of 5365925760 is about 1750.7127175853.

The spelling of 5365925760 in words is "five billion, three hundred sixty-five million, nine hundred twenty-five thousand, seven hundred sixty".