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66108 = 2237787
BaseRepresentation
bin10000001000111100
310100200110
4100020330
54103413
61230020
7363510
oct201074
9110613
1066108
1145739
1232310
1324123
141a140
15148c3
hex1023c

66108 has 24 divisors (see below), whose sum is σ = 176512. Its totient is φ = 18864.

The previous prime is 66107. The next prime is 66109. The reversal of 66108 is 80166.

It is an interprime number because it is at equal distance from previous prime (66107) and next prime (66109).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66108.

It is not an unprimeable number, because it can be changed into a prime (66103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 477.

266108 is an apocalyptic number.

It is an amenable number.

66108 is an abundant number, since it is smaller than the sum of its proper divisors (110404).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88256).

66108 is a wasteful number, since it uses less digits than its factorization.

66108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 66108 is about 257.1147603698. The cubic root of 66108 is about 40.4344313210.

The spelling of 66108 in words is "sixty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 787 1574 2361 3148 4722 5509 9444 11018 16527 22036 33054 66108