Base | Representation |
---|---|
bin | 10011100010000000000000 |
3 | 100122010022122 |
4 | 103202000000 |
5 | 2302320000 |
6 | 301423412 |
7 | 61343054 |
oct | 23420000 |
9 | 10563278 |
10 | 5120000 |
11 | 2987806 |
12 | 186ab68 |
13 | 10a35b2 |
14 | 973c64 |
15 | 6b2085 |
hex | 4e2000 |
5120000 has 70 divisors (see below), whose sum is σ = 12795123. Its totient is φ = 2048000.
The previous prime is 5119997. The next prime is 5120029. The reversal of 5120000 is 215.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 1183744 + 3936256 = 1088^2 + 1984^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1600.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 5120000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1023998 + ... + 1024002.
Almost surely, 25120000 is an apocalyptic number.
5120000 is a gapful number since it is divisible by the number (50) 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 5120000
5120000 is an abundant number, since it is smaller than the sum of its proper divisors (7675123).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5120000 is an frugal number, since it uses more digits than its factorization.
5120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 8.
The square root of 5120000 is about 2262.7416997970. The cubic root of 5120000 is about 172.3547752026.
5120000 divided by its product of nonzero digits (10) gives a cube (512000 = 803).
Adding to 5120000 its reverse (215), we get a palindrome (5120215).
The spelling of 5120000 in words is "five million, one hundred twenty thousand".
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