Base | Representation |
---|---|
bin | 1010110011001… |
… | …11111011000000 |
3 | 20022111010020002 |
4 | 11121213323000 |
5 | 141143300300 |
6 | 12553535132 |
7 | 2150054162 |
oct | 531477300 |
9 | 208433202 |
10 | 90603200 |
11 | 47163586 |
12 | 264144a8 |
13 | 15a0367c |
14 | c066932 |
15 | 7e4a5d5 |
hex | 5667ec0 |
90603200 has 84 divisors (see below), whose sum is σ = 236125512. Its totient is φ = 34099200.
The previous prime is 90603199. The next prime is 90603203. The reversal of 90603200 is 230609.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (90603203) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25535 + ... + 28865.
It is an arithmetic number, because the mean of its divisors is an integer number (2811018).
Almost surely, 290603200 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 90603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118062756).
90603200 is an abundant number, since it is smaller than the sum of its proper divisors (145522312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90603200 is a wasteful number, since it uses less digits than its factorization.
90603200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3370 (or 3355 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 20.
The square root of 90603200 is about 9518.5713213696. The cubic root of 90603200 is about 449.1394252549.
Adding to 90603200 its reverse (230609), we get a palindrome (90833809).
The spelling of 90603200 in words is "ninety million, six hundred three thousand, two hundred".
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