Base | Representation |
---|---|
bin | 100010100000… |
… | …100001000000 |
3 | 122000120220000 |
4 | 202200201000 |
5 | 4303433310 |
6 | 521520000 |
7 | 136614261 |
oct | 42404100 |
9 | 18016800 |
10 | 9046080 |
11 | 51194aa |
12 | 3043000 |
13 | 1b49614 |
14 | 12b6968 |
15 | bda4c0 |
hex | 8a0840 |
9046080 has 140 divisors (see below), whose sum is σ = 32270700. Its totient is φ = 2405376.
The previous prime is 9046073. The next prime is 9046097. The reversal of 9046080 is 806409.
It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 4064256 = 2232^2 + 2016^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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 19 ways as a sum of consecutive naturals, for example, 25746 + ... + 26094.
It is an arithmetic number, because the mean of its divisors is an integer number (230505).
Almost surely, 29046080 is an apocalyptic number.
9046080 is a gapful number since it is divisible by the number (90) 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 9046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135350).
9046080 is an abundant number, since it is smaller than the sum of its proper divisors (23224620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9046080 is a wasteful number, since it uses less digits than its factorization.
9046080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 378 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 9046080 is about 3007.6701946856. The cubic root of 9046080 is about 208.3627791268.
The spelling of 9046080 in words is "nine million, forty-six thousand, eighty".
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