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66436 = 2217977
BaseRepresentation
bin10000001110000100
310101010121
4100032010
54111221
61231324
7364456
oct201604
9111117
1066436
1145a07
1232544
1324316
141a2d6
1514a41
hex10384

66436 has 12 divisors (see below), whose sum is σ = 123228. Its totient is φ = 31232.

The previous prime is 66431. The next prime is 66449. The reversal of 66436 is 63466.

It is a happy number.

66436 is nontrivially palindromic in base 15.

66436 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 8836 = 240^2 + 94^2 .

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 66436.

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

66436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (10269).

266436 is an apocalyptic number.

It is an amenable number.

66436 is a deficient number, since it is larger than the sum of its proper divisors (56792).

66436 is a wasteful number, since it uses less digits than its factorization.

66436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 996 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 66436 is about 257.7518186163. The cubic root of 66436 is about 40.5011938885.

The spelling of 66436 in words is "sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 17 34 68 977 1954 3908 16609 33218 66436