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3060 = 2232517
BaseRepresentation
bin101111110100
311012100
4233310
544220
622100
711631
oct5764
94170
103060
112332
121930
131515
141188
15d90
hexbf4

3060 has 36 divisors (see below), whose sum is σ = 9828. Its totient is φ = 768.

The previous prime is 3049. The next prime is 3061. The reversal of 3060 is 603.

Adding to 3060 its reverse (603), we get a palindrome (3663).

3060 = 93 + 103 + 113.

3060 is nontrivially palindromic in base 11.

3060 is a nontrivial binomial coefficient, being equal to C(18, 4).

It can be written as a sum of positive squares in 2 ways, for example, as 1764 + 1296 = 42^2 + 36^2 .

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

3060 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a nialpdrome in base 5, base 6 and base 15.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3061) by changing a digit.

3060 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, 172 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

3060 is a gapful number since it is divisible by the number (30) 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 3060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914).

3060 is an abundant number, since it is smaller than the sum of its proper divisors (6768).

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

3060 is a wasteful number, since it uses less digits than its factorization.

3060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3060 is about 55.3172667438. The cubic root of 3060 is about 14.5180117032.

The spelling of 3060 in words is "three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060