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42380 = 22513163
BaseRepresentation
bin1010010110001100
32011010122
422112030
52324010
6524112
7234362
oct122614
964118
1042380
1129928
1220638
13163a0
1411632
15c855
hexa58c

42380 has 24 divisors (see below), whose sum is σ = 96432. Its totient is φ = 15552.

The previous prime is 42379. The next prime is 42391. The reversal of 42380 is 8324.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42380.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (4018).

242380 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 42380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48216).

42380 is an abundant number, since it is smaller than the sum of its proper divisors (54052).

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

42380 is a wasteful number, since it uses less digits than its factorization.

42380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42380 is about 205.8640327983. The cubic root of 42380 is about 34.8647844165.

The spelling of 42380 in words is "forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 21190 42380