Search a number
-
+
42460 = 22511193
BaseRepresentation
bin1010010111011100
32011020121
422113130
52324320
6524324
7234535
oct122734
964217
1042460
11299a0
12206a4
1316432
141168c
15c8aa
hexa5dc

42460 has 24 divisors (see below), whose sum is σ = 97776. Its totient is φ = 15360.

The previous prime is 42457. The next prime is 42461. The reversal of 42460 is 6424.

Adding to 42460 its reverse (6424), we get a palindrome (48884).

It can be divided in two parts, 424 and 60, that added together give a palindrome (484).

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 42460.

It is not an unprimeable number, because it can be changed into a prime (42461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (4074).

242460 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 42460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888).

42460 is an abundant number, since it is smaller than the sum of its proper divisors (55316).

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

42460 is a wasteful number, since it uses less digits than its factorization.

42460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42460 is about 206.0582441932. The cubic root of 42460 is about 34.8867085124.

The spelling of 42460 in words is "forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 42460