Search a number
-
+
8682196320 = 2532572294243
BaseRepresentation
bin10000001010111111…
…11100110101100000
3211102002002021022200
420011133330311200
5120240120240240
63553305333200
7425103310500
oct100537746540
924362067280
108682196320
113755967666
121823797200
13a8498a995
145c5129a00
1535c352930
hex2057fcd60

8682196320 has 432 divisors, whose sum is σ = 35662077360. Its totient is φ = 1915619328.

The previous prime is 8682196297. The next prime is 8682196343. The reversal of 8682196320 is 236912868.

8682196320 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 1 + 9 + 632 + 0 = 666.

8682196320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8682196297) and next prime (8682196343).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2044119 + ... + 2048361.

It is an arithmetic number, because the mean of its divisors is an integer number (82551105).

Almost surely, 28682196320 is an apocalyptic number.

8682196320 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 8682196320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831038680).

8682196320 is an abundant number, since it is smaller than the sum of its proper divisors (26979881040).

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

8682196320 is a wasteful number, since it uses less digits than its factorization.

8682196320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8682196320 is about 93178.3039124452. The cubic root of 8682196320 is about 2055.3062075899.

The spelling of 8682196320 in words is "eight billion, six hundred eighty-two million, one hundred ninety-six thousand, three hundred twenty".