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60060 = 223571113
BaseRepresentation
bin1110101010011100
310001101110
432222130
53410220
61142020
7340050
oct165234
9101343
1060060
1141140
122a910
1321450
1417c60
1512be0
hexea9c

60060 has 96 divisors (see below), whose sum is σ = 225792. Its totient is φ = 11520.

The previous prime is 60041. The next prime is 60077. The reversal of 60060 is 6006.

Added to its reverse (6006) it gives a triangular number (66066 = T363).

60060 = T51 + T52 + ... + T78.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4614 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (2352).

260060 is an apocalyptic number.

60060 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 60060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

60060 is an abundant number, since it is smaller than the sum of its proper divisors (165732).

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

60060 is a wasteful number, since it uses less digits than its factorization.

60060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 60060 is about 245.0714181621. The cubic root of 60060 is about 39.1617216231.

60060 divided by its sum of digits (12) gives a palindrome (5005).

Multiplying 60060 by its product of nonzero digits (36), we get a triangular number (2162160 = T2079).

Adding to 60060 its reverse (6006), we get a palindrome (66066).

The spelling of 60060 in words is "sixty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 13 14 15 20 21 22 26 28 30 33 35 39 42 44 52 55 60 65 66 70 77 78 84 91 105 110 130 132 140 143 154 156 165 182 195 210 220 231 260 273 286 308 330 364 385 390 420 429 455 462 546 572 660 715 770 780 858 910 924 1001 1092 1155 1365 1430 1540 1716 1820 2002 2145 2310 2730 2860 3003 4004 4290 4620 5005 5460 6006 8580 10010 12012 15015 20020 30030 60060