Search a number
-
+
20760012 = 22327136337
BaseRepresentation
bin100111100110…
…0010111001100
31110001201101100
41033030113030
520303310022
62020543100
7341312550
oct117142714
943051340
1020760012
111079a339
126b51a90
1343bb340
142a85860
151c511ac
hex13cc5cc

20760012 has 72 divisors (see below), whose sum is σ = 64596896. Its totient is φ = 5474304.

The previous prime is 20760011. The next prime is 20760023. The reversal of 20760012 is 21006702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20760011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108 + ... + 6444.

Almost surely, 220760012 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 20760012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32298448).

20760012 is an abundant number, since it is smaller than the sum of its proper divisors (43836884).

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

20760012 is a wasteful number, since it uses less digits than its factorization.

20760012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20760012 is about 4556.3156168115. The cubic root of 20760012 is about 274.8374223617.

Adding to 20760012 its reverse (21006702), we get a palindrome (41766714).

The spelling of 20760012 in words is "twenty million, seven hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 6337 12674 19011 25348 38022 44359 57033 76044 82381 88718 114066 133077 164762 177436 228132 247143 266154 329524 399231 494286 532308 576667 741429 798462 988572 1153334 1482858 1596924 1730001 2306668 2965716 3460002 5190003 6920004 10380006 20760012