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112443120 = 2433552057
BaseRepresentation
bin1101011001110…
…11111011110000
321211120200222000
412230323323300
5212241134440
615054014000
72533515336
oct654737360
9254520860
10112443120
11585201a9
12317a7300
131a3ac3ba
1410d0db56
159d11730
hex6b3bef0

112443120 has 80 divisors (see below), whose sum is σ = 387311520. Its totient is φ = 29984256.

The previous prime is 112443119. The next prime is 112443127. The reversal of 112443120 is 21344211.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 112443093 and 112443102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112443127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23869 + ... + 28188.

It is an arithmetic number, because the mean of its divisors is an integer number (4841394).

Almost surely, 2112443120 is an apocalyptic number.

112443120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112443120 is an abundant number, since it is smaller than the sum of its proper divisors (274868400).

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

112443120 is a wasteful number, since it uses less digits than its factorization.

112443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52079 (or 52067 counting only the distinct ones).

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

The square root of 112443120 is about 10603.9200298757. The cubic root of 112443120 is about 482.6633200152.

Adding to 112443120 its reverse (21344211), we get a palindrome (133787331).

It can be divided in two parts, 1124 and 43120, that added together give a palindrome (44244).

The spelling of 112443120 in words is "one hundred twelve million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 52057 104114 156171 208228 260285 312342 416456 468513 520570 624684 780855 832912 937026 1041140 1249368 1405539 1561710 1874052 2082280 2342565 2498736 2811078 3123420 3748104 4164560 4685130 5622156 6246840 7027695 7496208 9370260 11244312 12493680 14055390 18740520 22488624 28110780 37481040 56221560 112443120