Search a number
-
+
12439728 = 2432724143
BaseRepresentation
bin101111011101…
…000010110000
3212102000002200
4233131002300
511141032403
61122343200
7210510300
oct57350260
925360080
1012439728
117027174
1241bab00
1327671b2
14191b600
15115aca3
hexbdd0b0

12439728 has 180 divisors, whose sum is σ = 42450408. Its totient is φ = 3386880.

The previous prime is 12439727. The next prime is 12439751. The reversal of 12439728 is 82793421.

12439728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 35272-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (24192) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12439692 and 12439701.

It is not an unprimeable number, because it can be changed into a prime (12439723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289275 + ... + 289317.

Almost surely, 212439728 is an apocalyptic number.

12439728 is a gapful number since it is divisible by the number (18) 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 12439728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204).

12439728 is an abundant number, since it is smaller than the sum of its proper divisors (30010680).

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

12439728 is a wasteful number, since it uses less digits than its factorization.

12439728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12439728 is about 3526.9998582365. Note that the first 3 decimals coincide. The cubic root of 12439728 is about 231.7058300909.

The spelling of 12439728 in words is "twelve million, four hundred thirty-nine thousand, seven hundred twenty-eight".