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20130016 = 254167229
BaseRepresentation
bin100110011001…
…0100011100000
31101212201012011
41030302203200
520123130031
61555242304
7333050044
oct114624340
941781164
1020130016
11103a9a85
1268a9394
13422a66a
142960024
151b796b1
hex13328e0

20130016 has 48 divisors (see below), whose sum is σ = 41383440. Its totient is φ = 9630720.

The previous prime is 20130001. The next prime is 20130029. The reversal of 20130016 is 61003102.

It is a junction number, because it is equal to n+sod(n) for n = 20129978 and 20130005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87790 + ... + 88018.

It is an arithmetic number, because the mean of its divisors is an integer number (862155).

Almost surely, 220130016 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 20130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20691720).

20130016 is an abundant number, since it is smaller than the sum of its proper divisors (21253424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20130016 is a wasteful number, since it uses less digits than its factorization.

20130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 20130016 is about 4486.6486379034. The cubic root of 20130016 is about 272.0286878623.

Adding to 20130016 its reverse (61003102), we get a palindrome (81133118).

The spelling of 20130016 in words is "twenty million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 229 268 328 458 536 656 916 1072 1312 1832 2144 2747 3664 5494 7328 9389 10988 15343 18778 21976 30686 37556 43952 61372 75112 87904 122744 150224 245488 300448 490976 629063 1258126 2516252 5032504 10065008 20130016