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8320320 = 26355107
BaseRepresentation
bin11111101111010101000000
3120122201100000
4133233111000
54112222240
6454200000
7130502331
oct37572500
916581300
108320320
1147731a8
122953000
131954188
141168288
15ae5430
hex7ef540

8320320 has 168 divisors, whose sum is σ = 29955744. Its totient is φ = 2198016.

The previous prime is 8320313. The next prime is 8320373. The reversal of 8320320 is 230238.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8320293 and 8320302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77707 + ... + 77813.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 28320320 is an apocalyptic number.

8320320 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 8320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

8320320 is an abundant number, since it is smaller than the sum of its proper divisors (21635424).

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

8320320 is a wasteful number, since it uses less digits than its factorization.

8320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 8320320 is about 2884.4964898575. The cubic root of 8320320 is about 202.6344785754.

Adding to 8320320 its reverse (230238), we get a palindrome (8550558).

The spelling of 8320320 in words is "eight million, three hundred twenty thousand, three hundred twenty".