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42132540 = 22355771217
BaseRepresentation
bin1010000010111…
…0010000111100
32221021112222110
42200232100330
541241220130
64103014020
71021056252
oct240562074
987245873
1042132540
112186788a
121213a310
1389623c8
14584a5d2
153a73ab0
hex282e43c

42132540 has 48 divisors (see below), whose sum is σ = 118272672. Its totient is φ = 11206656.

The previous prime is 42132491. The next prime is 42132547. The reversal of 42132540 is 4523124.

It is a super-3 number, since 3×421325403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132547) 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 15 ways as a sum of consecutive naturals, for example, 34012 + ... + 35228.

It is an arithmetic number, because the mean of its divisors is an integer number (2464014).

Almost surely, 242132540 is an apocalyptic number.

It is an amenable number.

42132540 is an abundant number, since it is smaller than the sum of its proper divisors (76140132).

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

42132540 is a wasteful number, since it uses less digits than its factorization.

42132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42132540 is about 6490.9583267804. The cubic root of 42132540 is about 347.9679254360.

Adding to 42132540 its reverse (4523124), we get a palindrome (46655664).

The spelling of 42132540 in words is "forty-two million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 577 1154 1217 1731 2308 2434 2885 3462 3651 4868 5770 6085 6924 7302 8655 11540 12170 14604 17310 18255 24340 34620 36510 73020 702209 1404418 2106627 2808836 3511045 4213254 7022090 8426508 10533135 14044180 21066270 42132540