Search a number
-
+
12332016 = 243285639
BaseRepresentation
bin101111000010…
…101111110000
3212012112100100
4233002233300
511124111031
61120152400
7206551254
oct57025760
925175310
1012332016
116a63254
124168700
13272a168
1418d0264
151138de6
hexbc2bf0

12332016 has 30 divisors (see below), whose sum is σ = 34512920. Its totient is φ = 4110624.

The previous prime is 12331997. The next prime is 12332027. The reversal of 12332016 is 61023321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12332016.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 42676 + ... + 42963.

Almost surely, 212332016 is an apocalyptic number.

12332016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12332016 is an abundant number, since it is smaller than the sum of its proper divisors (22180904).

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

12332016 is a wasteful number, since it uses less digits than its factorization.

12332016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85653 (or 85644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12332016 is about 3511.6970256558. The cubic root of 12332016 is about 231.0351326786.

Adding to 12332016 its reverse (61023321), we get a palindrome (73355337).

It can be divided in two parts, 1233 and 2016, that added together give a square (3249 = 572).

The spelling of 12332016 in words is "twelve million, three hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85639 171278 256917 342556 513834 685112 770751 1027668 1370224 1541502 2055336 3083004 4110672 6166008 12332016