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42065580 = 22351514643
BaseRepresentation
bin1010000001110…
…1111010101100
32221011011010110
42200131322230
541232044310
64101340020
71020360114
oct240357254
987134113
1042065580
1121821547
1212107610
13893aa9b
145830044
153a5dd20
hex281deac

42065580 has 48 divisors (see below), whose sum is σ = 118589184. Its totient is φ = 11140800.

The previous prime is 42065561. The next prime is 42065581. The reversal of 42065580 is 8556024.

42065580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42065581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739 + ... + 11381.

It is an arithmetic number, because the mean of its divisors is an integer number (2470608).

Almost surely, 242065580 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 42065580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59294592).

42065580 is an abundant number, since it is smaller than the sum of its proper divisors (76523604).

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

42065580 is a wasteful number, since it uses less digits than its factorization.

42065580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 42065580 is about 6485.7983317399. The cubic root of 42065580 is about 347.7834893169.

The spelling of 42065580 in words is "forty-two million, sixty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 4643 9060 9286 13929 18572 23215 27858 46430 55716 69645 92860 139290 278580 701093 1402186 2103279 2804372 3505465 4206558 7010930 8413116 10516395 14021860 21032790 42065580