Base | Representation |
---|---|
bin | 100000010100… |
… | …000011001000 |
3 | 120221100122200 |
4 | 200110003020 |
5 | 4132030403 |
6 | 501320200 |
7 | 132000000 |
oct | 40240310 |
9 | 16840580 |
10 | 8470728 |
11 | 4866202 |
12 | 2a06060 |
13 | 19a7786 |
14 | 11a7000 |
15 | b24ca3 |
hex | 8140c8 |
8470728 has 84 divisors (see below), whose sum is σ = 26765115. Its totient is φ = 2420208.
The previous prime is 8470711. The next prime is 8470729. The reversal of 8470728 is 8270748.
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 only one way, i.e., 4235364 + 4235364 = 2058^2 + 2058^2 .
It is a tau number, because it is divible by the number of its divisors (84).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2058.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 8470692 and 8470701.
It is not an unprimeable number, because it can be changed into a prime (8470729) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1210101 + ... + 1210107.
Almost surely, 28470728 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 8470728
8470728 is an abundant number, since it is smaller than the sum of its proper divisors (18294387).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8470728 is an frugal number, since it uses more digits than its factorization.
8470728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54 (or 12 counting only the distinct ones).
The product of its (nonzero) digits is 25088, while the sum is 36.
The square root of 8470728 is about 2910.4515113638. The cubic root of 8470728 is about 203.8482146591.
Multiplying 8470728 by its product of nonzero digits (25088), we get a square (212513624064 = 4609922).
The spelling of 8470728 in words is "eight million, four hundred seventy thousand, seven hundred twenty-eight".
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