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66060 = 22325367
BaseRepresentation
bin10000001000001100
310100121200
4100020030
54103220
61225500
7363411
oct201014
9110550
1066060
11456a5
1232290
13240b7
141a108
1514890
hex1020c

66060 has 36 divisors (see below), whose sum is σ = 200928. Its totient is φ = 17568.

The previous prime is 66047. The next prime is 66067. The reversal of 66060 is 6066.

66060 is a `hidden beast` number, since 660 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (66067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 363.

266060 is an apocalyptic number.

66060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100464).

66060 is an abundant number, since it is smaller than the sum of its proper divisors (134868).

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

66060 is a wasteful number, since it uses less digits than its factorization.

66060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

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

The square root of 66060 is about 257.0213998872. The cubic root of 66060 is about 40.4246426790.

The spelling of 66060 in words is "sixty-six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 11010 13212 16515 22020 33030 66060