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42035140 = 2257259727
BaseRepresentation
bin1010000001011…
…0011111000100
32221002121101001
42200112133010
541230111030
64100543044
71020202300
oct240263704
987077331
1042035140
1121800694
12120b1a84
138929c84
145822d00
153a54cca
hex28167c4

42035140 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 14148288.

The previous prime is 42035093. The next prime is 42035141. The reversal of 42035140 is 4153024.

42035140 = T459 + T460 + ... + T703.

It is not an unprimeable number, because it can be changed into a prime (42035141) 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 23 ways as a sum of consecutive naturals, for example, 57457 + ... + 58183.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 242035140 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 42035140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

42035140 is an abundant number, since it is smaller than the sum of its proper divisors (62534780).

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

42035140 is a wasteful number, since it uses less digits than its factorization.

42035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42035140 is about 6483.4512414300. The cubic root of 42035140 is about 347.6995799859.

Adding to 42035140 its reverse (4153024), we get a palindrome (46188164).

The spelling of 42035140 in words is "forty-two million, thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 727 826 980 1180 1454 1652 2065 2891 2908 3635 4130 5089 5782 7270 8260 10178 11564 14455 14540 20356 25445 28910 35623 42893 50890 57820 71246 85786 101780 142492 171572 178115 214465 300251 356230 428930 600502 712460 857860 1201004 1501255 2101757 3002510 4203514 6005020 8407028 10508785 21017570 42035140