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112443440 = 24517292851
BaseRepresentation
bin1101011001111…
…00000000110000
321211120201101212
412230330000300
5212241142230
615054015252
72533516304
oct654740060
9254521355
10112443440
115852046a
12317a7528
131a3ac5a5
1410d0dd04
159d11895
hex6b3c030

112443440 has 80 divisors (see below), whose sum is σ = 286454880. Its totient is φ = 40857600.

The previous prime is 112443427. The next prime is 112443451. The reversal of 112443440 is 44344211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 38015 + ... + 40865.

It is an arithmetic number, because the mean of its divisors is an integer number (3580686).

Almost surely, 2112443440 is an apocalyptic number.

112443440 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 112443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143227440).

112443440 is an abundant number, since it is smaller than the sum of its proper divisors (174011440).

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

112443440 is a wasteful number, since it uses less digits than its factorization.

112443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 112443440 is about 10603.9351186246. The cubic root of 112443440 is about 482.6637778826.

Adding to 112443440 its reverse (44344211), we get a palindrome (156787651).

The spelling of 112443440 in words is "one hundred twelve million, four hundred forty-three thousand, four hundred forty".