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66378 = 23132337
BaseRepresentation
bin10000001101001010
310101001110
4100031022
54111003
61231150
7364344
oct201512
9111043
1066378
1145964
12324b6
13242a0
141a294
1514a03
hex1034a

66378 has 32 divisors (see below), whose sum is σ = 153216. Its totient is φ = 19008.

The previous prime is 66377. The next prime is 66383. The reversal of 66378 is 87366.

It is a d-powerful number, because it can be written as 63 + 66 + 37 + 75 + 83 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776 + ... + 1812.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

266378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

66378 is an abundant number, since it is smaller than the sum of its proper divisors (86838).

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

66378 is a wasteful number, since it uses less digits than its factorization.

66378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its digits is 6048, while the sum is 30.

The square root of 66378 is about 257.6392827191. The cubic root of 66378 is about 40.4894043308.

It can be divided in two parts, 663 and 78, that added together give a triangular number (741 = T38).

The spelling of 66378 in words is "sixty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 13 23 26 37 39 46 69 74 78 111 138 222 299 481 598 851 897 962 1443 1702 1794 2553 2886 5106 11063 22126 33189 66378