Search a number
-
+
113232384 = 29338191
BaseRepresentation
bin1101011111111…
…00101000000000
321220001210122000
412233330220000
5212441414014
615122544000
72543313366
oct657745000
9256053560
10113232384
1158a0a191
1231b08000
131a5c7715
1411077636
159e1a509
hex6bfca00

113232384 has 80 divisors (see below), whose sum is σ = 335216640. Its totient is φ = 37739520.

The previous prime is 113232377. The next prime is 113232389. The reversal of 113232384 is 483232311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (113232389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9729 + ... + 17919.

It is an arithmetic number, because the mean of its divisors is an integer number (4190208).

Almost surely, 2113232384 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 113232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167608320).

113232384 is an abundant number, since it is smaller than the sum of its proper divisors (221984256).

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

113232384 is an frugal number, since it uses more digits than its factorization.

113232384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8218 (or 8196 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113232384 is about 10641.0706228274. The cubic root of 113232384 is about 483.7899960921.

Adding to 113232384 its reverse (483232311), we get a palindrome (596464695).

The spelling of 113232384 in words is "one hundred thirteen million, two hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 8191 13824 16382 24573 32764 49146 65528 73719 98292 131056 147438 196584 221157 262112 294876 393168 442314 524224 589752 786336 884628 1048448 1179504 1572672 1769256 2096896 2359008 3145344 3538512 4193792 4718016 6290688 7077024 9436032 12581376 14154048 18872064 28308096 37744128 56616192 113232384