Search a number
-
+
8085420000 = 25345472331
BaseRepresentation
bin1111000011110110…
…11011011111100000
3202212111010220010000
413201323123133200
5113024331420000
63414150340000
7404235636030
oct74173333740
922774126100
108085420000
11347a010799
12169795a600
139bb1504b8
14569b818c0
15324c70000
hex1e1edb7e0

8085420000 has 1200 divisors, whose sum is σ = 36578691072. Its totient is φ = 1710720000.

The previous prime is 8085419987. The next prime is 8085420029. The reversal of 8085420000 is 245808.

It is a tau number, because it is divible by the number of its divisors (1200).

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 199 ways as a sum of consecutive naturals, for example, 260819985 + ... + 260820015.

Almost surely, 28085420000 is an apocalyptic number.

8085420000 is a gapful number since it is divisible by the number (80) 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 8085420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289345536).

8085420000 is an abundant number, since it is smaller than the sum of its proper divisors (28493271072).

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

8085420000 is a wasteful number, since it uses less digits than its factorization.

8085420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8085420000 is about 89918.9635171580. The cubic root of 8085420000 is about 2007.0931472249.

Adding to 8085420000 its reverse (245808), we get a palindrome (8085665808).

The spelling of 8085420000 in words is "eight billion, eighty-five million, four hundred twenty thousand".