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42060060 = 2234573709
BaseRepresentation
bin1010000001110…
…0100100011100
32221010212120000
42200130210130
541231410220
64101254300
71020335040
oct240344434
987125500
1042060060
1121818389
1212104390
138938413
14582c020
153a5c390
hex281c91c

42060060 has 120 divisors (see below), whose sum is σ = 150833760. Its totient is φ = 9611136.

The previous prime is 42060047. The next prime is 42060061. The reversal of 42060060 is 6006024.

42060060 is a `hidden beast` number, since 4 + 2 + 0 + 600 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42060061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9486 + ... + 13194.

It is an arithmetic number, because the mean of its divisors is an integer number (1256948).

Almost surely, 242060060 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 42060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75416880).

42060060 is an abundant number, since it is smaller than the sum of its proper divisors (108773700).

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

42060060 is a wasteful number, since it uses less digits than its factorization.

42060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42060060 is about 6485.3727726323. The cubic root of 42060060 is about 347.7682761755.

Adding to 42060060 its reverse (6006024), we get a palindrome (48066084).

The spelling of 42060060 in words is "forty-two million, sixty thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3709 3780 5670 7418 11127 11340 14836 18545 22254 25963 33381 37090 44508 51926 55635 66762 74180 77889 100143 103852 111270 129815 133524 155778 166905 200286 222540 233667 259630 300429 311556 333810 389445 400572 467334 500715 519260 600858 667620 701001 778890 934668 1001430 1168335 1201716 1402002 1502145 1557780 2002860 2103003 2336670 2804004 3004290 3505005 4206006 4673340 6008580 7010010 8412012 10515015 14020020 21030030 42060060