Search a number
-
+
120112044 = 223131515099
BaseRepresentation
bin1110010100011…
…00001110101100
322101000022202020
413022030032230
5221222041134
615530230140
72655635613
oct712141654
9271008666
10120112044
1161888a58
1234285350
131bb65c20
1411d4887a
15a828b49
hex728c3ac

120112044 has 48 divisors (see below), whose sum is σ = 303878400. Its totient is φ = 36705600.

The previous prime is 120112033. The next prime is 120112051. The reversal of 120112044 is 440211021.

It is a super-2 number, since 2×1201120442 = 28853806227715872, which contains 22 as substring.

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, 21007 + ... + 26105.

It is an arithmetic number, because the mean of its divisors is an integer number (6330800).

Almost surely, 2120112044 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 120112044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939200).

120112044 is an abundant number, since it is smaller than the sum of its proper divisors (183766356).

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

120112044 is a wasteful number, since it uses less digits than its factorization.

120112044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120112044 is about 10959.5640424243. The cubic root of 120112044 is about 493.3958805933.

Adding to 120112044 its reverse (440211021), we get a palindrome (560323065).

The spelling of 120112044 in words is "one hundred twenty million, one hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 302 453 604 906 1812 1963 3926 5099 5889 7852 10198 11778 15297 20396 23556 30594 61188 66287 132574 198861 265148 397722 769949 795444 1539898 2309847 3079796 4619694 9239388 10009337 20018674 30028011 40037348 60056022 120112044