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112341240 = 233251122579
BaseRepresentation
bin1101011001000…
…11000011111000
321211101112012200
412230203003320
5212224404430
615051510200
72532612324
oct654430370
9254345180
10112341240
1158460700
1231758360
131a374c0b
1410cc4984
159ce1460
hex6b230f8

112341240 has 144 divisors (see below), whose sum is σ = 401473800. Its totient is φ = 27223680.

The previous prime is 112341227. The next prime is 112341263. The reversal of 112341240 is 42143211.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 42271 + ... + 44849.

Almost surely, 2112341240 is an apocalyptic number.

112341240 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 112341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200736900).

112341240 is an abundant number, since it is smaller than the sum of its proper divisors (289132560).

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

112341240 is a wasteful number, since it uses less digits than its factorization.

112341240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2600 counting only the distinct ones).

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

The square root of 112341240 is about 10599.1150573998. The cubic root of 112341240 is about 482.5175022958.

Adding to 112341240 its reverse (42143211), we get a palindrome (154484451).

The spelling of 112341240 in words is "one hundred twelve million, three hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2579 2904 3630 3960 4356 4840 5158 5445 7260 7737 8712 10316 10890 12895 14520 15474 20632 21780 23211 25790 28369 30948 38685 43560 46422 51580 56738 61896 77370 85107 92844 103160 113476 116055 141845 154740 170214 185688 226952 232110 255321 283690 309480 312059 340428 425535 464220 510642 567380 624118 680856 851070 928440 936177 1021284 1134760 1248236 1276605 1560295 1702140 1872354 2042568 2496472 2553210 2808531 3120590 3404280 3744708 4680885 5106420 5617062 6241180 7489416 9361770 10212840 11234124 12482360 14042655 18723540 22468248 28085310 37447080 56170620 112341240