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42080 = 255263

42080 has 24 divisors (see below), whose sum is σ = 99792. Its totient is φ = 16768.

The previous prime is 42073. The next prime is 42083. The reversal of 42080 is 8024.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42080.

It is not an unprimeable number, because it can be changed into a prime (42083) by changing a digit.

42080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 291.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

242080 is an apocalyptic number.

42080 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 42080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896).

42080 is an abundant number, since it is smaller than the sum of its proper divisors (57712).

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

42080 is a wasteful number, since it uses less digits than its factorization.

42080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42080 is about 205.1341024793. The cubic root of 42080 is about 34.7823224614.

The spelling of 42080 in words is "forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 1052 1315 2104 2630 4208 5260 8416 10520 21040 42080