Search a number
-
+
64764 = 22327257
BaseRepresentation
bin1111110011111100
310021211200
433303330
54033024
61215500
7356550
oct176374
9107750
1064764
1144727
1231590
132362b
1419860
15142c9
hexfcfc

64764 has 36 divisors (see below), whose sum is σ = 187824. Its totient is φ = 18432.

The previous prime is 64763. The next prime is 64781. The reversal of 64764 is 46746.

It can be divided in two parts, 64 and 764, that added together give a palindrome (828).

It is a tau number, because it is divible by the number of its divisors (36).

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

64764 is an undulating number in base 16.

It is a zygodrome in base 2.

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 64764.

It is not an unprimeable number, because it can be changed into a prime (64763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124 + ... + 380.

264764 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 64764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93912).

64764 is an abundant number, since it is smaller than the sum of its proper divisors (123060).

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

64764 is a wasteful number, since it uses less digits than its factorization.

64764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 64764 is about 254.4877207254. The cubic root of 64764 is about 40.1585374832.

The spelling of 64764 in words is "sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 257 514 771 1028 1542 1799 2313 3084 3598 4626 5397 7196 9252 10794 16191 21588 32382 64764