Base | Representation |
---|---|
bin | 101100101100… |
… | …111100100000 |
3 | 211001100200000 |
4 | 230230330200 |
5 | 10444442212 |
6 | 1055100000 |
7 | 201414345 |
oct | 54547440 |
9 | 24040600 |
10 | 11718432 |
11 | 6684260 |
12 | 3b11600 |
13 | 2573aab |
14 | 17b07cc |
15 | 10671dc |
hex | b2cf20 |
11718432 has 144 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 3525120.
The previous prime is 11718419. The next prime is 11718433. The reversal of 11718432 is 23481711.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 11718396 and 11718405.
It is not an unprimeable number, because it can be changed into a prime (11718433) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 85468 + ... + 85604.
It is an arithmetic number, because the mean of its divisors is an integer number (263718).
Almost surely, 211718432 is an apocalyptic number.
11718432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11718432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987696).
11718432 is an abundant number, since it is smaller than the sum of its proper divisors (26256960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11718432 is a wasteful number, since it uses less digits than its factorization.
11718432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 153 counting only the distinct ones).
The product of its digits is 1344, while the sum is 27.
The square root of 11718432 is about 3423.2195372193. The cubic root of 11718432 is about 227.1380195277.
The spelling of 11718432 in words is "eleven million, seven hundred eighteen thousand, four hundred thirty-two".
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