Search a number
-
+
112323024 = 2434117879
BaseRepresentation
bin1101011000111…
…10100111010000
321211100121020000
412230132213100
5212223314044
615051250000
72532505242
oct654364720
9254317200
10112323024
1158448a50
1231749900
131a369838
1410cbc092
159cdad69
hex6b1e9d0

112323024 has 100 divisors (see below), whose sum is σ = 354694560. Its totient is φ = 34032960.

The previous prime is 112323023. The next prime is 112323047. The reversal of 112323024 is 420323211.

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 = 112322988 and 112323006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112323023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10317 + ... + 18195.

Almost surely, 2112323024 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 112323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177347280).

112323024 is an abundant number, since it is smaller than the sum of its proper divisors (242371536).

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

112323024 is a wasteful number, since it uses less digits than its factorization.

112323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 112323024 is about 10598.2557055395. The cubic root of 112323024 is about 482.4914210042.

Adding to 112323024 its reverse (420323211), we get a palindrome (532646235).

The spelling of 112323024 in words is "one hundred twelve million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 7879 14256 15758 23637 31516 47274 63032 70911 86669 94548 126064 141822 173338 189096 212733 260007 283644 346676 378192 425466 520014 567288 638199 693352 780021 850932 1040028 1134576 1276398 1386704 1560042 1701864 2080056 2340063 2552796 3120084 3403728 4160112 4680126 5105592 6240168 7020189 9360252 10211184 12480336 14040378 18720504 28080756 37441008 56161512 112323024