Search a number
-
+
855732060 = 223351731297
BaseRepresentation
bin110011000000010…
…110111101011100
32012122012200201000
4303000112331130
53223031411220
6220525150300
730130413441
oct6300267534
92178180630
10855732060
113aa047187
121ba6bb390
13108397341
14819159c8
15501d5390
hex33016f5c

855732060 has 288 divisors, whose sum is σ = 2942775360. Its totient is φ = 205701120.

The previous prime is 855732037. The next prime is 855732067. The reversal of 855732060 is 60237558.

855732060 is a `hidden beast` number, since 8 + 5 + 573 + 20 + 60 = 666.

855732060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855732067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8821932 + ... + 8822028.

It is an arithmetic number, because the mean of its divisors is an integer number (10217970).

Almost surely, 2855732060 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 855732060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471387680).

855732060 is an abundant number, since it is smaller than the sum of its proper divisors (2087043300).

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

855732060 is a wasteful number, since it uses less digits than its factorization.

855732060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 855732060 is about 29252.8983179445. The cubic root of 855732060 is about 949.3928012767.

The spelling of 855732060 in words is "eight hundred fifty-five million, seven hundred thirty-two thousand, sixty".