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66468 = 22329191
BaseRepresentation
bin10000001110100100
310101011210
4100032210
54111333
61231420
7364533
oct201644
9111153
1066468
1145a36
1232570
132433c
141a31a
1514a63
hex103a4

66468 has 24 divisors (see below), whose sum is σ = 161280. Its totient is φ = 21280.

The previous prime is 66467. The next prime is 66491. The reversal of 66468 is 86466.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (66463) 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, 253 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

266468 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 66468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

66468 is an abundant number, since it is smaller than the sum of its proper divisors (94812).

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

66468 is a wasteful number, since it uses less digits than its factorization.

66468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66468 is about 257.8138863599. The cubic root of 66468 is about 40.5076955351.

The spelling of 66468 in words is "sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 191 348 382 573 764 1146 2292 5539 11078 16617 22156 33234 66468