Search a number
-
+
20032012 = 22711135003
BaseRepresentation
bin100110001101…
…0101000001100
31101200201202101
41030122220030
520112011022
61553204444
7332161240
oct114325014
941621671
1020032012
1110342390
126860724
1341c4b80
142936420
151b5a627
hex131aa0c

20032012 has 48 divisors (see below), whose sum is σ = 47077632. Its totient is φ = 7202880.

The previous prime is 20031997. The next prime is 20032013. The reversal of 20032012 is 21023002.

It is a self number, because there is not a number n which added to its sum of digits gives 20032012.

It is not an unprimeable number, because it can be changed into a prime (20032013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503 + ... + 6505.

It is an arithmetic number, because the mean of its divisors is an integer number (980784).

Almost surely, 220032012 is an apocalyptic number.

20032012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538816).

20032012 is an abundant number, since it is smaller than the sum of its proper divisors (27045620).

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

20032012 is a wasteful number, since it uses less digits than its factorization.

20032012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20032012 is about 4475.7135743924. The cubic root of 20032012 is about 271.5865076880.

Adding to 20032012 its reverse (21023002), we get a palindrome (41055014).

The spelling of 20032012 in words is "twenty million, thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 5003 10006 20012 35021 55033 65039 70042 110066 130078 140084 220132 260156 385231 455273 715429 770462 910546 1430858 1540924 1821092 2861716 5008003 10016006 20032012