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8230320 = 2432572371
BaseRepresentation
bin11111011001010110110000
3120111010212200
4133121112300
54101332240
6452223200
7126646050
oct37312660
916433780
108230320
11471161a
12290ab00
131922217
141143560
15ac8930
hex7d95b0

8230320 has 240 divisors, whose sum is σ = 33426432. Its totient is φ = 1774080.

The previous prime is 8230309. The next prime is 8230331. The reversal of 8230320 is 230328.

8230320 is digitally balanced in base 5, 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 (8230309) and next prime (8230331).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8230293 and 8230302.

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 47 ways as a sum of consecutive naturals, for example, 115885 + ... + 115955.

Almost surely, 28230320 is an apocalyptic number.

8230320 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 8230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

8230320 is an abundant number, since it is smaller than the sum of its proper divisors (25196112).

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

8230320 is a wasteful number, since it uses less digits than its factorization.

8230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

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

The square root of 8230320 is about 2868.8534295080. The cubic root of 8230320 is about 201.9012031983.

Adding to 8230320 its reverse (230328), we get a palindrome (8460648).

The spelling of 8230320 in words is "eight million, two hundred thirty thousand, three hundred twenty".