Search a number
-
+
8084520960 = 22135257
BaseRepresentation
bin1111000011110000…
…00000000000000000
3202212102110012212020
413201320000000000
5113024114132320
63414115201440
7404225202645
oct74170000000
922772405766
108084520960
11347955728a
1216975a6280
139babc7219
145699c9dcc
15324b43940
hex1e1e00000

8084520960 has 176 divisors, whose sum is σ = 25971124176. Its totient is φ = 2147483648.

The previous prime is 8084520959. The next prime is 8084520973. The reversal of 8084520960 is 690254808.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 8084520960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31457152 + ... + 31457408.

Almost surely, 28084520960 is an apocalyptic number.

8084520960 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 8084520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985562088).

8084520960 is an abundant number, since it is smaller than the sum of its proper divisors (17886603216).

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

8084520960 is an frugal number, since it uses more digits than its factorization.

8084520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8084520960 is about 89913.9642102382. The cubic root of 8084520960 is about 2007.0187530723.

The spelling of 8084520960 in words is "eight billion, eighty-four million, five hundred twenty thousand, nine hundred sixty".