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8023320 = 23335171923
BaseRepresentation
bin11110100110110100011000
3120002121221000
4132212310120
54023221240
6443545000
7125124414
oct36466430
916077830
108023320
114590048
12282b160
13187bc36
1410cbd44
15a87430
hex7a6d18

8023320 has 256 divisors, whose sum is σ = 31104000. Its totient is φ = 1824768.

The previous prime is 8023289. The next prime is 8023363. The reversal of 8023320 is 233208.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8023293 and 8023302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348829 + ... + 348851.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 28023320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

8023320 is an abundant number, since it is smaller than the sum of its proper divisors (23080680).

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

8023320 is a wasteful number, since it uses less digits than its factorization.

8023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

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

The square root of 8023320 is about 2832.5465574285. The cubic root of 8023320 is about 200.1941448113.

Adding to 8023320 its reverse (233208), we get a palindrome (8256528).

The spelling of 8023320 in words is "eight million, twenty-three thousand, three hundred twenty".