Search a number
-
+
20003112 = 233430869
BaseRepresentation
bin100110001001…
…1100100101000
31101122021010000
41030103210220
520110044422
61552423000
7332011053
oct114234450
941567100
1020003112
11103226a8
126847a60
1341b497c
142929a9a
151b51cac
hex1313928

20003112 has 40 divisors (see below), whose sum is σ = 56029050. Its totient is φ = 6667488.

The previous prime is 20003107. The next prime is 20003117. The reversal of 20003112 is 21130002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20003107) and next prime (20003117).

It can be written as a sum of positive squares in only one way, i.e., 19766916 + 236196 = 4446^2 + 486^2 .

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 = 20003094 and 20003103.

It is not an unprimeable number, because it can be changed into a prime (20003117) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14787 + ... + 16082.

Almost surely, 220003112 is an apocalyptic number.

It is an amenable number.

20003112 is an abundant number, since it is smaller than the sum of its proper divisors (36025938).

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

20003112 is a wasteful number, since it uses less digits than its factorization.

20003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30887 (or 30874 counting only the distinct ones).

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

The square root of 20003112 is about 4472.4838736434. The cubic root of 20003112 is about 271.4558397087.

Adding to 20003112 its reverse (21130002), we get a palindrome (41133114).

The spelling of 20003112 in words is "twenty million, three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 30869 61738 92607 123476 185214 246952 277821 370428 555642 740856 833463 1111284 1666926 2222568 2500389 3333852 5000778 6667704 10001556 20003112