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42022260 = 22335711117
BaseRepresentation
bin1010000001001…
…1010101110100
32221001221201000
42200103111310
541224203020
64100403300
71020116610
oct240232564
987057630
1042022260
11217a1a45
12120a6530
138924157
14581c340
153a51090
hex2813574

42022260 has 96 divisors (see below), whose sum is σ = 149425920. Its totient is φ = 9604224.

The previous prime is 42022259. The next prime is 42022261. The reversal of 42022260 is 6222024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42022259) and next prime (42022261).

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 (42022261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1779 + ... + 9338.

It is an arithmetic number, because the mean of its divisors is an integer number (1556520).

Almost surely, 242022260 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 42022260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74712960).

42022260 is an abundant number, since it is smaller than the sum of its proper divisors (107403660).

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

42022260 is a wasteful number, since it uses less digits than its factorization.

42022260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42022260 is about 6482.4578671982. The cubic root of 42022260 is about 347.6640634468.

Adding to 42022260 its reverse (6222024), we get a palindrome (48244284).

The spelling of 42022260 in words is "forty-two million, twenty-two thousand, two hundred sixty".

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 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11117 22234 33351 44468 55585 66702 77819 100053 111170 133404 155638 166755 200106 222340 233457 300159 311276 333510 389095 400212 466914 500265 600318 667020 700371 778190 933828 1000530 1167285 1200636 1400742 1500795 1556380 2001060 2101113 2334570 2801484 3001590 3501855 4202226 4669140 6003180 7003710 8404452 10505565 14007420 21011130 42022260