Sunday, 24 June 2018

Numbers Aplenty

Today I just stumbled upon a new site that lists information about natural numbers. It's called Numbers Aplenty.


The categories under which numbers are classified looks like this:


So for instance, today I am 25284 days old and entering that number into the search box yields:
  • 25284 has 36 divisors (see below), whose sum is σ = 70224. Its totient is φ = 7056. 
  • The previous prime is 25261. The next prime is 25301. The reversal of 25284 is 48252 
  • Adding to 25284 its reverse (48252), we get a triangular number (73536 = T383). 
  • It is a Harshad number since it is a multiple of its sum of digits (21). 
  • 25284 is a Rhonda number in base 10. 
  • Its product of digits (640) is a multiple of the sum of its prime factors (64). 
  • It is a nialpdrome in base 14. 
  • It is a self number, because there is not a number n which added to its sum of digits gives 25284. 
  • 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, 567 + ... + 609. 
  • 225284 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 25284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35112). 
  • 25284 is an abundant number, since it is smaller than the sum of its proper divisors (44940). 
  • It is a pseudoperfect number, because it is the sum of a subset of its proper divisors. 
  • 25284 is a wasteful number, since it uses less digits than its factorization. 
  • 25284 is an evil number, because the sum of its binary digits is even. 
  • The sum of its prime factors is 64 (or 55 counting only the distinct ones). 
  • The product of its digits is 640, while the sum is 21. 
  • The square root of 25284 is about 159.0094336824. The cubic root of 25284 is about 29.3504835430. 
  • The spelling of 25284 in words is "twenty-five thousand, two hundred eighty-four".
Many of the terms mentioned above I'd never heard before. The site will be a useful adjunct to the Online Encyclopedia of Integer Sequences or OEIS.

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