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66164 = 22717139
BaseRepresentation
bin10000001001110100
310100202112
4100021310
54104124
61230152
7363620
oct201164
9110675
1066164
114578a
1232358
1324167
141a180
151490e
hex10274

66164 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 26496.

The previous prime is 66161. The next prime is 66169. The reversal of 66164 is 46166.

It is a plaindrome in base 11.

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 66164.

It is not an unprimeable number, because it can be changed into a prime (66161) 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, 407 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

266164 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 66164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

66164 is an abundant number, since it is smaller than the sum of its proper divisors (74956).

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

66164 is a wasteful number, since it uses less digits than its factorization.

66164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 66164 is about 257.2236381051. The cubic root of 66164 is about 40.4458454165.

The spelling of 66164 in words is "sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 139 238 278 476 556 973 1946 2363 3892 4726 9452 16541 33082 66164