Base | Representation |
---|---|
bin | 100010010101… |
… | …101010000000 |
3 | 121221022212121 |
4 | 202111222000 |
5 | 4301022400 |
6 | 520534024 |
7 | 136340506 |
oct | 42255200 |
9 | 17838777 |
10 | 9001600 |
11 | 5099043 |
12 | 3021314 |
13 | 1b322ba |
14 | 12a4676 |
15 | bcc21a |
hex | 895a80 |
9001600 has 96 divisors (see below), whose sum is σ = 23240700. Its totient is φ = 3440640.
The previous prime is 9001561. The next prime is 9001621. The reversal of 9001600 is 61009.
It can be written as a sum of positive squares in 6 ways, for example, as 3125824 + 5875776 = 1768^2 + 2424^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92752 + ... + 92848.
Almost surely, 29001600 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 9001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620350).
9001600 is an abundant number, since it is smaller than the sum of its proper divisors (14239100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9001600 is a wasteful number, since it uses less digits than its factorization.
9001600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 150 (or 133 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 16.
The square root of 9001600 is about 3000.2666548159. The cubic root of 9001600 is about 208.0207079975.
Adding to 9001600 its reverse (61009), we get a palindrome (9062609).
It can be divided in two parts, 900 and 1600, that multiplied together give a square (1440000 = 12002).
The spelling of 9001600 in words is "nine million, one thousand, six hundred".
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