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112700320 = 255739649
BaseRepresentation
bin1101011011110…
…10101110100000
321212001202202221
412231322232200
5212322402240
615103320424
72535636235
oct655725640
9255052687
10112700320
1158686467
12318b0114
131a46c4a5
1410d7978c
159d62a4a
hex6b7aba0

112700320 has 48 divisors (see below), whose sum is σ = 269929800. Its totient is φ = 44457984.

The previous prime is 112700311. The next prime is 112700333. The reversal of 112700320 is 23007211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70761744 + 41938576 = 8412^2 + 6476^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112700294 and 112700303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6856 + ... + 16504.

Almost surely, 2112700320 is an apocalyptic number.

112700320 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 112700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134964900).

112700320 is an abundant number, since it is smaller than the sum of its proper divisors (157229480).

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

112700320 is an equidigital number, since it uses as much as digits as its factorization.

112700320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 112700320 is about 10616.0406932151. The cubic root of 112700320 is about 483.0310510467.

Adding to 112700320 its reverse (23007211), we get a palindrome (135707531).

The spelling of 112700320 in words is "one hundred twelve million, seven hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 9649 11680 19298 38596 48245 77192 96490 154384 192980 308768 385960 704377 771920 1408754 1543840 2817508 3521885 5635016 7043770 11270032 14087540 22540064 28175080 56350160 112700320