Search a number
-
+
65604 = 22371171
BaseRepresentation
bin10000000001000100
310022222210
4100001010
54044404
61223420
7362160
oct200104
9108883
1065604
1145320
1231b70
1323b26
1419ca0
1514689
hex10044

65604 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 16800.

The previous prime is 65599. The next prime is 65609. The reversal of 65604 is 40656.

65604 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (65599) and next prime (65609).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (65609) 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 15 ways as a sum of consecutive naturals, for example, 889 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

265604 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 65604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

65604 is an abundant number, since it is smaller than the sum of its proper divisors (127932).

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

65604 is a wasteful number, since it uses less digits than its factorization.

65604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 65604 is about 256.1327780664. The cubic root of 65604 is about 40.3314132152.

The spelling of 65604 in words is "sixty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 71 77 84 132 142 154 213 231 284 308 426 462 497 781 852 924 994 1491 1562 1988 2343 2982 3124 4686 5467 5964 9372 10934 16401 21868 32802 65604