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4180112 = 242337307
BaseRepresentation
bin1111111100100010010000
321212101000222
433330202100
52032230422
6225332212
750346626
oct17744220
97771028
104180112
1123a5642
121497068
13b34851
147ab516
15578842
hex3fc890

4180112 has 40 divisors (see below), whose sum is σ = 8707776. Its totient is φ = 1938816.

The previous prime is 4180097. The next prime is 4180153. The reversal of 4180112 is 2110814.

4180112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 13463 + ... + 13769.

Almost surely, 24180112 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 4180112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353888).

4180112 is an abundant number, since it is smaller than the sum of its proper divisors (4527664).

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

4180112 is a wasteful number, since it uses less digits than its factorization.

4180112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 4180112 is about 2044.5322203379. The cubic root of 4180112 is about 161.0877959479.

Adding to 4180112 its reverse (2110814), we get a palindrome (6290926).

The spelling of 4180112 in words is "four million, one hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 307 368 592 614 851 1228 1702 2456 3404 4912 6808 7061 11359 13616 14122 22718 28244 45436 56488 90872 112976 181744 261257 522514 1045028 2090056 4180112