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66912 = 2531741
BaseRepresentation
bin10000010101100000
310101210020
4100111200
54120122
61233440
7366036
oct202540
9111706
1066912
11462aa
1232880
13245c1
141a556
1514c5c
hex10560

66912 has 48 divisors (see below), whose sum is σ = 190512. Its totient is φ = 20480.

The previous prime is 66889. The next prime is 66919. The reversal of 66912 is 21966.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66919) by changing a digit.

66912 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 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

266912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256).

66912 is an abundant number, since it is smaller than the sum of its proper divisors (123600).

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

66912 is a wasteful number, since it uses less digits than its factorization.

66912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 66912 is about 258.6735394276. The cubic root of 66912 is about 40.5976913115.

The spelling of 66912 in words is "sixty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1312 1394 1632 1968 2091 2788 3936 4182 5576 8364 11152 16728 22304 33456 66912