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112403016 = 233211347409
BaseRepresentation
bin1101011001100…
…10001001001000
321211111122221200
412230302021020
5212233344031
615053104200
72533260405
oct654621110
9254448850
10112403016
11584a3060
1231788060
131a39707b
1410cdd2ac
159d048e6
hex6b32248

112403016 has 96 divisors (see below), whose sum is σ = 333871200. Its totient is φ = 33880320.

The previous prime is 112402967. The next prime is 112403023. The reversal of 112403016 is 610304211.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112403016.

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 23 ways as a sum of consecutive naturals, for example, 274620 + ... + 275028.

It is an arithmetic number, because the mean of its divisors is an integer number (3477825).

Almost surely, 2112403016 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 112403016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166935600).

112403016 is an abundant number, since it is smaller than the sum of its proper divisors (221468184).

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

112403016 is a wasteful number, since it uses less digits than its factorization.

112403016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112403016 is about 10602.0288624395. The cubic root of 112403016 is about 482.6059309059.

Adding to 112403016 its reverse (610304211), we get a palindrome (722707227).

The spelling of 112403016 in words is "one hundred twelve million, four hundred three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 347 396 409 694 792 818 1041 1227 1388 1636 2082 2454 2776 3123 3272 3681 3817 4164 4499 4908 6246 7362 7634 8328 8998 9816 11451 12492 13497 14724 15268 17996 22902 24984 26994 29448 30536 34353 35992 40491 45804 53988 68706 80982 91608 107976 137412 141923 161964 274824 283846 323928 425769 567692 851538 1135384 1277307 1561153 1703076 2554614 3122306 3406152 4683459 5109228 6244612 9366918 10218456 12489224 14050377 18733836 28100754 37467672 56201508 112403016