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60066 = 2324771
BaseRepresentation
bin1110101010100010
310001101200
432222202
53410231
61142030
7340056
oct165242
9101350
1060066
1141146
122a916
1321456
1417c66
1512be6
hexeaa2

60066 has 24 divisors (see below), whose sum is σ = 134784. Its totient is φ = 19320.

The previous prime is 60041. The next prime is 60077. The reversal of 60066 is 66006.

60066 is a `hidden beast` number, since 600 + 66 = 666.

60066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

60066 is a modest number, since divided by 66 gives 6 as remainder.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

260066 is an apocalyptic number.

60066 is an abundant number, since it is smaller than the sum of its proper divisors (74718).

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 (67392).

60066 is a wasteful number, since it uses less digits than its factorization.

60066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 60066 is about 245.0836591860. The cubic root of 60066 is about 39.1630256663.

It can be divided in two parts, 600 and 66, that added together give a palindrome (666).

The spelling of 60066 in words is "sixty thousand, sixty-six", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 47 71 94 141 142 213 282 423 426 639 846 1278 3337 6674 10011 20022 30033 60066