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112352424 = 23323375501
BaseRepresentation
bin1101011001001…
…01110010101000
321211102002112220
412230211302220
5212230234144
615052034040
72532660042
oct654456250
9254362486
10112352424
1158469048
1231762920
131a37a032
1410cc8a92
159ce4919
hex6b25ca8

112352424 has 64 divisors (see below), whose sum is σ = 301069440. Its totient is φ = 34848000.

The previous prime is 112352413. The next prime is 112352437. The reversal of 112352424 is 424253211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112352394 and 112352403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17674 + ... + 23174.

It is an arithmetic number, because the mean of its divisors is an integer number (4704210).

Almost surely, 2112352424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112352424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150534720).

112352424 is an abundant number, since it is smaller than the sum of its proper divisors (188717016).

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

112352424 is a wasteful number, since it uses less digits than its factorization.

112352424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5566 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 112352424 is about 10599.6426354854. The cubic root of 112352424 is about 482.5335139186.

The spelling of 112352424 in words is "one hundred twelve million, three hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 5501 6808 10212 11002 16503 20424 22004 33006 44008 66012 126523 132024 203537 253046 379569 407074 506092 610611 759138 814148 1012184 1221222 1518276 1628296 2442444 3036552 4681351 4884888 9362702 14044053 18725404 28088106 37450808 56176212 112352424