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16432 = 241379
BaseRepresentation
bin100000000110000
3211112121
410000300
51011212
6204024
765623
oct40060
924477
1016432
1111389
129614
137630
145dba
154d07
hex4030

16432 has 20 divisors (see below), whose sum is σ = 34720. Its totient is φ = 7488.

The previous prime is 16427. The next prime is 16433. The reversal of 16432 is 23461.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 1 + 6 + 47 + 32 + 25 .

16432 is a modest number, since divided by 432 gives 16 as remainder.

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (16433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 169 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (1736).

216432 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 16432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360).

16432 is an abundant number, since it is smaller than the sum of its proper divisors (18288).

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

16432 is a wasteful number, since it uses less digits than its factorization.

16432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 16432 is about 128.1873628717. The cubic root of 16432 is about 25.4231957905.

Adding to 16432 its reverse (23461), we get a palindrome (39893).

It can be divided in two parts, 164 and 32, that added together give a square (196 = 142).

The spelling of 16432 in words is "sixteen thousand, four hundred thirty-two".