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66536 = 238317
BaseRepresentation
bin10000001111101000
310101021022
4100033220
54112121
61232012
7364661
oct201750
9111238
1066536
1145a98
1232608
1324392
141a368
1514aab
hex103e8

66536 has 8 divisors (see below), whose sum is σ = 124770. Its totient is φ = 33264.

The previous prime is 66533. The next prime is 66541. The reversal of 66536 is 63566.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 28900 = 194^2 + 170^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a d-powerful number, because it can be written as 62 + 62 + 53 + 39 + 66 .

It is a plaindrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (66533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4151 + ... + 4166.

266536 is an apocalyptic number.

It is an amenable number.

66536 is a deficient number, since it is larger than the sum of its proper divisors (58234).

66536 is a wasteful number, since it uses less digits than its factorization.

66536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8319 counting only the distinct ones).

The product of its digits is 3240, while the sum is 26.

The square root of 66536 is about 257.9457307264. The cubic root of 66536 is about 40.5215046086.

The spelling of 66536 in words is "sixty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 8317 16634 33268 66536