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42180060 = 223513173181
BaseRepresentation
bin1010000011100…
…1110111011100
32221100222011110
42200321313130
541244230220
64104022020
71021344636
oct240716734
987328143
1042180060
112189a55a
1212161910
13897ac20
14585da56
153a82be0
hex2839ddc

42180060 has 96 divisors (see below), whose sum is σ = 134713152. Its totient is φ = 9768960.

The previous prime is 42180053. The next prime is 42180107. The reversal of 42180060 is 6008124.

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, 11670 + ... + 14850.

It is an arithmetic number, because the mean of its divisors is an integer number (1403262).

Almost surely, 242180060 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 42180060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67356576).

42180060 is an abundant number, since it is smaller than the sum of its proper divisors (92533092).

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

42180060 is a wasteful number, since it uses less digits than its factorization.

42180060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 42180060 is about 6494.6177716629. The cubic root of 42180060 is about 348.0986970684.

Adding to 42180060 its reverse (6008124), we get a palindrome (48188184).

The spelling of 42180060 in words is "forty-two million, one hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3181 3315 4420 6362 6630 9543 12724 13260 15905 19086 31810 38172 41353 47715 54077 63620 82706 95430 108154 124059 162231 165412 190860 206765 216308 248118 270385 324462 413530 496236 540770 620295 648924 703001 811155 827060 1081540 1240590 1406002 1622310 2109003 2481180 2812004 3244620 3515005 4218006 7030010 8436012 10545015 14060020 21090030 42180060