Base | Representation |
---|---|
bin | 11110110010111110100000 |
3 | 120012011020110 |
4 | 132302332200 |
5 | 4031314440 |
6 | 445011320 |
7 | 125422536 |
oct | 36627640 |
9 | 16164213 |
10 | 8073120 |
11 | 4614500 |
12 | 2853b40 |
13 | 18987c3 |
14 | 1102156 |
15 | a97080 |
hex | 7b2fa0 |
8073120 has 144 divisors (see below), whose sum is σ = 28153440. Its totient is φ = 1943040.
The previous prime is 8073103. The next prime is 8073127. The reversal of 8073120 is 213708.
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (8073127) by changing a digit.
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, 58011 + ... + 58149.
It is an arithmetic number, because the mean of its divisors is an integer number (195510).
Almost surely, 28073120 is an apocalyptic number.
8073120 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 8073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14076720).
8073120 is an abundant number, since it is smaller than the sum of its proper divisors (20080320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8073120 is a wasteful number, since it uses less digits than its factorization.
8073120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 179 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 21.
The square root of 8073120 is about 2841.3236352095. The cubic root of 8073120 is about 200.6074862673.
Adding to 8073120 its reverse (213708), we get a palindrome (8286828).
The spelling of 8073120 in words is "eight million, seventy-three thousand, one hundred twenty".
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