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42330120 = 23357223313
BaseRepresentation
bin1010000101111…
…0100000001000
32221122121000020
42201132200020
541314030440
64111140440
71022541300
oct241364010
987577006
1042330120
1121992278
1212214720
138a01311
14589c600
153ab23d0
hex285e808

42330120 has 192 divisors, whose sum is σ = 154638720. Its totient is φ = 9225216.

The previous prime is 42330107. The next prime is 42330149. The reversal of 42330120 is 2103324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42330120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135084 + ... + 135396.

It is an arithmetic number, because the mean of its divisors is an integer number (805410).

Almost surely, 242330120 is an apocalyptic number.

42330120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77319360).

42330120 is an abundant number, since it is smaller than the sum of its proper divisors (112308600).

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

42330120 is a wasteful number, since it uses less digits than its factorization.

42330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42330120 is about 6506.1601578811. The cubic root of 42330120 is about 348.5110077508.

Adding to 42330120 its reverse (2103324), we get a palindrome (44433444).

The spelling of 42330120 in words is "forty-two million, three hundred thirty thousand, one hundred twenty".