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12060 = 2232567
BaseRepresentation
bin10111100011100
3121112200
42330130
5341220
6131500
750106
oct27434
917480
1012060
119074
126b90
135649
144576
153890
hex2f1c

12060 has 36 divisors (see below), whose sum is σ = 37128. Its totient is φ = 3168.

The previous prime is 12049. The next prime is 12071. The reversal of 12060 is 6021.

It is an interprime number because it is at equal distance from previous prime (12049) and next prime (12071).

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 (9).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

12060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 213.

12060 is a Friedman number, since it can be written as 201*60, using all its digits and the basic arithmetic operations.

212060 is an apocalyptic number.

12060 is a gapful number since it is divisible by the number (10) 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 12060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564).

12060 is an abundant number, since it is smaller than the sum of its proper divisors (25068).

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

12060 is a wasteful number, since it uses less digits than its factorization.

12060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12060 is about 109.8180313063. The cubic root of 12060 is about 22.9323785733.

Adding to 12060 its reverse (6021), we get a palindrome (18081).

The spelling of 12060 in words is "twelve thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060