Search a number
-
+
20130012 = 2233726627
BaseRepresentation
bin100110011001…
…0100011011100
31101212201012000
41030302203130
520123130022
61555242300
7333050040
oct114624334
941781160
1020130012
11103a9a81
1268a9390
13422a666
142960020
151b796ac
hex13328dc

20130012 has 48 divisors (see below), whose sum is σ = 59646720. Its totient is φ = 5751216.

The previous prime is 20130001. The next prime is 20130029. The reversal of 20130012 is 21003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20129976 and 20130003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12558 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (1242640).

Almost surely, 220130012 is an apocalyptic number.

It is an amenable number.

20130012 is an abundant number, since it is smaller than the sum of its proper divisors (39516708).

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

20130012 is a wasteful number, since it uses less digits than its factorization.

20130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26647 (or 26639 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20130012 is about 4486.6481921363. The cubic root of 20130012 is about 272.0286698442.

Adding to 20130012 its reverse (21003102), we get a palindrome (41133114).

The spelling of 20130012 in words is "twenty million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 26627 53254 79881 106508 159762 186389 239643 319524 372778 479286 559167 718929 745556 958572 1118334 1437858 1677501 2236668 2875716 3355002 5032503 6710004 10065006 20130012