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42065180 = 22541431193
BaseRepresentation
bin1010000001110…
…1110100011100
32221011010120122
42200131310130
541232041210
64101334112
71020356003
oct240356434
987133518
1042065180
1121821213
1212107338
13893a851
14582dc3a
153a5db55
hex281dd1c

42065180 has 48 divisors (see below), whose sum is σ = 92673504. Its totient is φ = 16020480.

The previous prime is 42065119. The next prime is 42065203. The reversal of 42065180 is 8156024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34664 + ... + 35856.

It is an arithmetic number, because the mean of its divisors is an integer number (1930698).

Almost surely, 242065180 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 42065180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46336752).

42065180 is an abundant number, since it is smaller than the sum of its proper divisors (50608324).

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

42065180 is a wasteful number, since it uses less digits than its factorization.

42065180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 42065180 is about 6485.7674950618. The cubic root of 42065180 is about 347.7823869601.

The spelling of 42065180 in words is "forty-two million, sixty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 820 860 1193 1763 2386 3526 4772 5965 7052 8815 11930 17630 23860 35260 48913 51299 97826 102598 195652 205196 244565 256495 489130 512990 978260 1025980 2103259 4206518 8413036 10516295 21032590 42065180