Base | Representation |
---|---|
bin | 101101101010… |
… | …111000100000 |
3 | 211112020200011 |
4 | 231222320200 |
5 | 11031102003 |
6 | 1104334304 |
7 | 203522110 |
oct | 55527040 |
9 | 24466604 |
10 | 11972128 |
11 | 6837923 |
12 | 4014394 |
13 | 26323cc |
14 | 1839040 |
15 | 10b746d |
hex | b6ae20 |
11972128 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 4644864.
The previous prime is 11972113. The next prime is 11972141. The reversal of 11972128 is 82127911.
It is a self number, because there is not a number n which added to its sum of digits gives 11972128.
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 15 ways as a sum of consecutive naturals, for example, 123376 + ... + 123472.
It is an arithmetic number, because the mean of its divisors is an integer number (308700).
Almost surely, 211972128 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 11972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).
11972128 is an abundant number, since it is smaller than the sum of its proper divisors (17663072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11972128 is a wasteful number, since it uses less digits than its factorization.
11972128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 154 counting only the distinct ones).
The product of its digits is 2016, while the sum is 31.
The square root of 11972128 is about 3460.0762997368. The cubic root of 11972128 is about 228.7654584594.
It can be divided in two parts, 11972 and 128, that added together give a square (12100 = 1102).
The spelling of 11972128 in words is "eleven million, nine hundred seventy-two thousand, one hundred twenty-eight".
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