Search a number
66016 = 252063
BaseRepresentation
bin10000000111100000
310100120001
4100013200
54103031
61225344
7363316
oct200740
9110501
1066016
1145665
1232254
1324082
141a0b6
1514861
hex101e0

66016 has 12 divisors (see below), whose sum is σ = 130032. Its totient is φ = 32992.

The previous prime is 65993. The next prime is 66029. The reversal of 66016 is 61066.

It is a happy number.

It is a super-2 number, since 2×660162 = 8716224512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65984 and 66002.

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 1000 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (10836).

266016 is an apocalyptic number.

66016 is the 163-rd centered pentagonal number.

It is an amenable number.

66016 is a deficient number, since it is larger than the sum of its proper divisors (64016).

66016 is a wasteful number, since it uses less digits than its factorization.

66016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 66016 is about 256.9357896440. The cubic root of 66016 is about 40.4156655909.

Subtracting from 66016 its reverse (61066), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 660 and 16, that added together give a palindrome (676).

The spelling of 66016 in words is "sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 2063 4126 8252 16504 33008 66016