Search a number
-
+
6432 = 25367
BaseRepresentation
bin1100100100000
322211020
41210200
5201212
645440
724516
oct14440
98736
106432
114918
123880
132c0a
1424b6
151d8c
hex1920

6432 has 24 divisors (see below), whose sum is σ = 17136. Its totient is φ = 2112.

The previous prime is 6427. The next prime is 6449. The reversal of 6432 is 2346.

Adding to 6432 its reverse (2346), we get a palindrome (8778).

It can be divided in two parts, 64 and 32, that multiplied together give a 11-th power (2048 = 211).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (144) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (714).

26432 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 6432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568).

6432 is an abundant number, since it is smaller than the sum of its proper divisors (10704).

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

6432 is a wasteful number, since it uses less digits than its factorization.

6432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 6432 is about 80.1997506231. The cubic root of 6432 is about 18.5972478296.

The spelling of 6432 in words is "six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432