Search a number
-
+
8016790320 = 2434571116067
BaseRepresentation
bin1110111011101011…
…01000001100110000
3202200201000010220000
413131311220030300
5112404244242240
63403255350000
7402443410350
oct73565501460
922621003800
108016790320
1134442a6250
121678982300
139a9b71616
145609d8b60
1531dc15430
hex1ddd68330

8016790320 has 400 divisors, whose sum is σ = 34716135168. Its totient is φ = 1665722880.

The previous prime is 8016790319. The next prime is 8016790349. The reversal of 8016790320 is 230976108.

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

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 79 ways as a sum of consecutive naturals, for example, 490927 + ... + 506993.

Almost surely, 28016790320 is an apocalyptic number.

8016790320 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 8016790320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358067584).

8016790320 is an abundant number, since it is smaller than the sum of its proper divisors (26699344848).

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

8016790320 is a wasteful number, since it uses less digits than its factorization.

8016790320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110 (or 16095 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8016790320 is about 89536.5306453182. The cubic root of 8016790320 is about 2001.3982156021.

The spelling of 8016790320 in words is "eight billion, sixteen million, seven hundred ninety thousand, three hundred twenty".