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66339 = 36713
BaseRepresentation
bin10000001100100011
310101000000
4100030203
54110324
61231043
7364260
oct201443
9111000
1066339
1145929
1232483
1324270
141a267
15149c9
hex10323

66339 has 28 divisors (see below), whose sum is σ = 122416. Its totient is φ = 34992.

The previous prime is 66337. The next prime is 66343. The reversal of 66339 is 93366.

It is not a de Polignac number, because 66339 - 21 = 66337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

66339 is a lucky number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (66337) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5097 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (4372).

66339 is a Friedman number, since it can be written as 6^6+(9*3)^3, using all its digits and the basic arithmetic operations.

266339 is an apocalyptic number.

66339 is a deficient number, since it is larger than the sum of its proper divisors (56077).

66339 is an equidigital number, since it uses as much as digits as its factorization.

66339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 66339 is about 257.5635843826. The cubic root of 66339 is about 40.4814730075.

Adding to 66339 its sum of digits (27), we get a palindrome (66366).

The spelling of 66339 in words is "sixty-six thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 729 819 1053 1701 2457 3159 5103 7371 9477 22113 66339