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112324140 = 223252272749
BaseRepresentation
bin1101011000111…
…10111000101100
321211100122202100
412230132320230
5212223333030
615051255100
72532511425
oct654367054
9254318670
10112324140
1158449875
123174a490
131a36a1b6
1410cbc64c
159cdb360
hex6b1ee2c

112324140 has 72 divisors (see below), whose sum is σ = 342342000. Its totient is φ = 29810304.

The previous prime is 112324109. The next prime is 112324153. The reversal of 112324140 is 41423211.

112324140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

112324140 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39486 + ... + 42234.

It is an arithmetic number, because the mean of its divisors is an integer number (4754750).

Almost surely, 2112324140 is an apocalyptic number.

112324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171171000).

112324140 is an abundant number, since it is smaller than the sum of its proper divisors (230017860).

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

112324140 is a wasteful number, since it uses less digits than its factorization.

112324140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2986 counting only the distinct ones).

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

The square root of 112324140 is about 10598.3083555820. The cubic root of 112324140 is about 482.4930189510.

Adding to 112324140 its reverse (41423211), we get a palindrome (153747351).

The spelling of 112324140 in words is "one hundred twelve million, three hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 2749 3405 4086 4540 5498 6810 8172 8247 10215 10996 13620 13745 16494 20430 24741 27490 32988 40860 41235 49482 54980 82470 98964 123705 164940 247410 494820 624023 1248046 1872069 2496092 3120115 3744138 5616207 6240230 7488276 9360345 11232414 12480460 18720690 22464828 28081035 37441380 56162070 112324140