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3128112 = 243313557
BaseRepresentation
bin1011111011101100110000
312212220222000
423323230300
51300044422
6151014000
735405601
oct13735460
95786860
103128112
111847219
12106a300
13856a70
145b5da8
1541bcac
hex2fbb30

3128112 has 80 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 960768.

The previous prime is 3128107. The next prime is 3128129. The reversal of 3128112 is 2118213.

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

It is a nude number because it is divisible by every one of its digits.

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, 5338 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (121086).

Almost surely, 23128112 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 3128112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3128112 is an abundant number, since it is smaller than the sum of its proper divisors (6558768).

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

3128112 is a wasteful number, since it uses less digits than its factorization.

3128112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 3128112 is about 1768.6469404604. The cubic root of 3128112 is about 146.2494017070.

It can be divided in two parts, 3128 and 112, that added together give a triangular number (3240 = T80).

The spelling of 3128112 in words is "three million, one hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 557 624 702 936 1114 1404 1671 1872 2228 2808 3342 4456 5013 5616 6684 7241 8912 10026 13368 14482 15039 20052 21723 26736 28964 30078 40104 43446 57928 60156 65169 80208 86892 115856 120312 130338 173784 195507 240624 260676 347568 391014 521352 782028 1042704 1564056 3128112