Search a number
-
+
112341024 = 25323112583
BaseRepresentation
bin1101011001000…
…11000000100000
321211101111220200
412230203000200
5212224403044
615051505200
72532611565
oct654430040
9254344820
10112341024
1158460524
1231758200
131a374aa3
1410cc486c
159ce1369
hex6b23020

112341024 has 72 divisors (see below), whose sum is σ = 329801472. Its totient is φ = 36236160.

The previous prime is 112341017. The next prime is 112341037. The reversal of 112341024 is 420143211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112340988 and 112341006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2637 + ... + 15219.

It is an arithmetic number, because the mean of its divisors is an integer number (4580576).

Almost surely, 2112341024 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 112341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164900736).

112341024 is an abundant number, since it is smaller than the sum of its proper divisors (217460448).

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

112341024 is a wasteful number, since it uses less digits than its factorization.

112341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12619 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112341024 is about 10599.1048678650. The cubic root of 112341024 is about 482.5171930480.

Adding to 112341024 its reverse (420143211), we get a palindrome (532484235).

The spelling of 112341024 in words is "one hundred twelve million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 12583 25166 37749 50332 75498 100664 113247 150996 201328 226494 301992 390073 402656 452988 603984 780146 905976 1170219 1207968 1560292 1811952 2340438 3120584 3510657 3623904 4680876 6241168 7021314 9361752 12482336 14042628 18723504 28085256 37447008 56170512 112341024