Search a number
-
+
6920316000 = 253453133153
BaseRepresentation
bin1100111000111101…
…11010010001100000
3122212021210110220000
412130132322101200
5103133100103000
63102410220000
7333330500253
oct63436722140
918767713800
106920316000
112a31379924
121411724600
13863956650
1449913709a
152a7829000
hex19c7ba460

6920316000 has 960 divisors, whose sum is σ = 28768836096. Its totient is φ = 1617408000.

The previous prime is 6920315999. The next prime is 6920316017. The reversal of 6920316000 is 6130296.

It is a happy number.

6920316000 is a `hidden beast` number, since 6 + 9 + 20 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 130571974 + ... + 130572026.

Almost surely, 26920316000 is an apocalyptic number.

6920316000 is a gapful number since it is divisible by the number (60) 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 6920316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384418048).

6920316000 is an abundant number, since it is smaller than the sum of its proper divisors (21848520096).

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

6920316000 is a wasteful number, since it uses less digits than its factorization.

6920316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 6920316000 is about 83188.4366964544. The cubic root of 6920316000 is about 1905.6448929522.

Adding to 6920316000 its reverse (6130296), we get a palindrome (6926446296).

The spelling of 6920316000 in words is "six billion, nine hundred twenty million, three hundred sixteen thousand".