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42320 = 245232
BaseRepresentation
bin1010010101010000
32011001102
422111100
52323240
6523532
7234245
oct122520
964042
1042320
1129883
12205a8
1316355
14115cc
15c815
hexa550

42320 has 30 divisors (see below), whose sum is σ = 102858. Its totient is φ = 16192.

The previous prime is 42307. The next prime is 42323. The reversal of 42320 is 2324.

Adding to 42320 its reverse (2324), we get a palindrome (44644).

42320 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 8464 = 184^2 + 92^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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 42320.

It is not an unprimeable number, because it can be changed into a prime (42323) by changing a digit.

42320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1829 + ... + 1851.

242320 is an apocalyptic number.

42320 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 42320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51429).

42320 is an abundant number, since it is smaller than the sum of its proper divisors (60538).

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

42320 is a wasteful number, since it uses less digits than its factorization.

42320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 42320 is about 205.7182539300. The cubic root of 42320 is about 34.8483232316.

The spelling of 42320 in words is "forty-two thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 920 1058 1840 2116 2645 4232 5290 8464 10580 21160 42320