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112384 = 28439
BaseRepresentation
bin11011011100000000
312201011101
4123130000
512044014
62224144
7645436
oct333400
9181141
10112384
1177488
1255054
133c1cc
142cd56
1523474
hex1b700

112384 has 18 divisors (see below), whose sum is σ = 224840. Its totient is φ = 56064.

The previous prime is 112363. The next prime is 112397. The reversal of 112384 is 483211.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 37 + ... + 475.

2112384 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 112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112420).

112384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

112384 is an frugal number, since it uses more digits than its factorization.

112384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 441 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 112384 is about 335.2372294361. The cubic root of 112384 is about 48.2578714104.

Adding to 112384 its reverse (483211), we get a palindrome (595595).

It can be divided in two parts, 112 and 384, that added together give a triangular number (496 = T31).

The spelling of 112384 in words is "one hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 439 878 1756 3512 7024 14048 28096 56192 112384