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112040000 = 26542801
BaseRepresentation
bin1101010110110…
…01100001000000
321210211012222122
412223121201000
5212140240000
615041223412
72530216142
oct653314100
9253735878
10112040000
1158275346
1231631b68
131a29aa77
1410c46c92
159c82085
hex6ad9840

112040000 has 70 divisors (see below), whose sum is σ = 277921974. Its totient is φ = 44800000.

The previous prime is 112039999. The next prime is 112040009. The reversal of 112040000 is 40211.

It can be written as a sum of positive squares in 5 ways, for example, as 43349056 + 68690944 = 6584^2 + 8288^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 112040000.

It is not an unprimeable number, because it can be changed into a prime (112040009) 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 9 ways as a sum of consecutive naturals, for example, 38600 + ... + 41400.

Almost surely, 2112040000 is an apocalyptic number.

112040000 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 112040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138960987).

112040000 is an abundant number, since it is smaller than the sum of its proper divisors (165881974).

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

112040000 is an frugal number, since it uses more digits than its factorization.

112040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 112040000 is about 10584.8948979194. The cubic root of 112040000 is about 482.0858303446.

Adding to 112040000 its reverse (40211), we get a palindrome (112080211).

The spelling of 112040000 in words is "one hundred twelve million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2801 4000 5000 5602 8000 10000 11204 14005 20000 22408 28010 40000 44816 56020 70025 89632 112040 140050 179264 224080 280100 350125 448160 560200 700250 896320 1120400 1400500 1750625 2240800 2801000 3501250 4481600 5602000 7002500 11204000 14005000 22408000 28010000 56020000 112040000