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112320032 = 2511615231
BaseRepresentation
bin1101011000111…
…01111000100000
321211100110010012
412230131320200
5212223220112
615051224052
72532463436
oct654357040
9254313105
10112320032
1158446780
1231748028
131a368376
1410cbad56
159cda022
hex6b1de20

112320032 has 48 divisors (see below), whose sum is σ = 245234304. Its totient is φ = 50208000.

The previous prime is 112320029. The next prime is 112320041. The reversal of 112320032 is 230023211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112319989 and 112320016.

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 7 ways as a sum of consecutive naturals, for example, 18857 + ... + 24087.

It is an arithmetic number, because the mean of its divisors is an integer number (5109048).

Almost surely, 2112320032 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 112320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122617152).

112320032 is an abundant number, since it is smaller than the sum of its proper divisors (132914272).

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

112320032 is a wasteful number, since it uses less digits than its factorization.

112320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 112320032 is about 10598.1145492960. The cubic root of 112320032 is about 482.4871368509.

Adding to 112320032 its reverse (230023211), we get a palindrome (342343243).

The spelling of 112320032 in words is "one hundred twelve million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5231 5368 10462 10736 20924 21472 41848 57541 83696 115082 167392 230164 319091 460328 638182 920656 1276364 1841312 2552728 3510001 5105456 7020002 10210912 14040004 28080008 56160016 112320032