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112240320 = 2635432719
BaseRepresentation
bin1101011000010…
…10011011000000
321211012101202220
412230022123000
5212213142240
615045411040
72532012153
oct654123300
9254171686
10112240320
11583a18a5
1231709a80
131a33acba
1410c99c9a
159cc15d0
hex6b0a6c0

112240320 has 112 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 29223936.

The previous prime is 112240313. The next prime is 112240327. The reversal of 112240320 is 23042211.

It is an interprime number because it is at equal distance from previous prime (112240313) and next prime (112240327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112240320.

It is not an unprimeable number, because it can be changed into a prime (112240327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39921 + ... + 42639.

Almost surely, 2112240320 is an apocalyptic number.

112240320 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 112240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).

112240320 is an abundant number, since it is smaller than the sum of its proper divisors (252544320).

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

112240320 is a wasteful number, since it uses less digits than its factorization.

112240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112240320 is about 10594.3532129149. The cubic root of 112240320 is about 482.3729716519.

Adding to 112240320 its reverse (23042211), we get a palindrome (135282531).

The spelling of 112240320 in words is "one hundred twelve million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1290 1376 1720 2064 2580 2719 2752 3440 4128 5160 5438 6880 8157 8256 10320 10876 13595 13760 16314 20640 21752 27190 32628 40785 41280 43504 54380 65256 81570 87008 108760 116917 130512 163140 174016 217520 233834 261024 326280 350751 435040 467668 522048 584585 652560 701502 870080 935336 1169170 1305120 1403004 1753755 1870672 2338340 2610240 2806008 3507510 3741344 4676680 5612016 7015020 7482688 9353360 11224032 14030040 18706720 22448064 28060080 37413440 56120160 112240320