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42021090 = 23251393359
BaseRepresentation
bin1010000001001…
…1000011100010
32221001220002200
42200103003202
541224133330
64100354030
71020113316
oct240230342
987056080
1042021090
11217a1081
12120a5916
138923767
14581bb46
153a50a60
hex28130e2

42021090 has 48 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 11121696.

The previous prime is 42021073. The next prime is 42021121. The reversal of 42021090 is 9012024.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10831 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 242021090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42021090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

42021090 is an abundant number, since it is smaller than the sum of its proper divisors (68052510).

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

42021090 is a wasteful number, since it uses less digits than its factorization.

42021090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42021090 is about 6482.3676230217. The cubic root of 42021090 is about 347.6608368178.

The spelling of 42021090 in words is "forty-two million, twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 3359 4170 6255 6718 10077 12510 16795 20154 30231 33590 50385 60462 100770 151155 302310 466901 933802 1400703 2334505 2801406 4202109 4669010 7003515 8404218 14007030 21010545 42021090