Base | Representation |
---|---|
bin | 100010101001… |
… | …100010100000 |
3 | 122002110120220 |
4 | 202221202200 |
5 | 4311124130 |
6 | 522403040 |
7 | 140130111 |
oct | 42514240 |
9 | 18073526 |
10 | 9083040 |
11 | 514424a |
12 | 3060480 |
13 | 1b603a5 |
14 | 12c6208 |
15 | be6410 |
hex | 8a98a0 |
9083040 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2386944.
The previous prime is 9083033. The next prime is 9083047. The reversal of 9083040 is 403809.
It is an interprime number because it is at equal distance from previous prime (9083033) and next prime (9083047).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 9083040.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9083047) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60886 + ... + 61034.
It is an arithmetic number, because the mean of its divisors is an integer number (302400).
Almost surely, 29083040 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 9083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).
9083040 is an abundant number, since it is smaller than the sum of its proper divisors (19947360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9083040 is a wasteful number, since it uses less digits than its factorization.
9083040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 294 (or 286 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 9083040 is about 3013.8082221668. The cubic root of 9083040 is about 208.6461661049.
Adding to 9083040 its reverse (403809), we get a palindrome (9486849).
The spelling of 9083040 in words is "nine million, eighty-three thousand, forty".
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