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4060 = 225729
BaseRepresentation
bin111111011100
312120101
4333130
5112220
630444
714560
oct7734
95511
104060
113061
122424
131b04
1416a0
15130a
hexfdc

4060 has 24 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1344.

The previous prime is 4057. The next prime is 4073. The reversal of 4060 is 604.

4060 = T1 + T2 + ... + T28.

4060 = 212 + 222 + ... + 272.

4060 is a nontrivial binomial coefficient, being equal to C(30, 3).

It is a Harshad number since it is a multiple of its sum of digits (10).

4060 is an undulating number in base 12.

4060 is a modest number, since divided by 60 gives 40 as remainder.

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is the 28-th tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

24060 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 4060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

4060 is an abundant number, since it is smaller than the sum of its proper divisors (6020).

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

4060 is a wasteful number, since it uses less digits than its factorization.

4060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 4060 is about 63.7181292883. The cubic root of 4060 is about 15.9529869964.

4060 divided by its sum of digits (10) gives a triangular number (406 = T28).

Adding to 4060 its reverse (604), we get a palindrome (4664).

It can be divided in two parts, 40 and 60, that added together give a square (100 = 102).

The spelling of 4060 in words is "four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060