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66432 = 273173
BaseRepresentation
bin10000001110000000
310101010110
4100032000
54111212
61231320
7364452
oct201600
9111113
1066432
1145a03
1232540
1324312
141a2d2
1514a3c
hex10380

66432 has 32 divisors (see below), whose sum is σ = 177480. Its totient is φ = 22016.

The previous prime is 66431. The next prime is 66449. The reversal of 66432 is 23466.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a plaindrome in base 9.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66399 and 66408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66432.

It is not an unprimeable number, because it can be changed into a prime (66431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 470.

266432 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 66432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88740).

66432 is an abundant number, since it is smaller than the sum of its proper divisors (111048).

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

66432 is a wasteful number, since it uses less digits than its factorization.

66432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 66432 is about 257.7440590974. The cubic root of 66432 is about 40.5003810359.

Adding to 66432 its reverse (23466), we get a palindrome (89898).

It can be divided in two parts, 664 and 32, that added together give a palindrome (696).

The spelling of 66432 in words is "sixty-six thousand, four hundred thirty-two".