Search a number
-
+
66584 = 2372941
BaseRepresentation
bin10000010000011000
310101100002
4100100120
54112314
61232132
7365060
oct202030
9111302
1066584
1146031
1232648
13243cb
141a3a0
1514ade
hex10418

66584 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 26880.

The previous prime is 66571. The next prime is 66587. The reversal of 66584 is 48566.

66584 = T125 + T126 + ... + T132.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 15.

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 66584.

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

66584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604 + ... + 1644.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

266584 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 66584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

66584 is an abundant number, since it is smaller than the sum of its proper divisors (84616).

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

66584 is a wasteful number, since it uses less digits than its factorization.

66584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 66584 is about 258.0387567789. The cubic root of 66584 is about 40.5312465261.

The spelling of 66584 in words is "sixty-six thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 29 41 56 58 82 116 164 203 232 287 328 406 574 812 1148 1189 1624 2296 2378 4756 8323 9512 16646 33292 66584