| Base | Representation |
|---|---|
| bin | 1001101010011… |
| … | …1110010000000 |
| 3 | 2211021021222200 |
| 4 | 2122213302000 |
| 5 | 40334024440 |
| 6 | 4004433200 |
| 7 | 1001345235 |
| oct | 232476200 |
| 9 | 84237880 |
| 10 | 40533120 |
| 11 | 20975151 |
| 12 | 116a8800 |
| 13 | 85223c4 |
| 14 | 555178c |
| 15 | 3859c30 |
| hex | 26a7c80 |
40533120 has 192 divisors, whose sum is σ = 145117440. Its totient is φ = 10414080.
The previous prime is 40533091. The next prime is 40533121. The reversal of 40533120 is 2133504.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 40533093 and 40533102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40533121) 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, 178447 + ... + 178673.
It is an arithmetic number, because the mean of its divisors is an integer number (755820).
Almost surely, 240533120 is an apocalyptic number.
40533120 is a gapful number since it is divisible by the number (40) 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 40533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).
40533120 is an abundant number, since it is smaller than the sum of its proper divisors (104584320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40533120 is a wasteful number, since it uses less digits than its factorization.
40533120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 283 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 40533120 is about 6366.5626518554. The cubic root of 40533120 is about 343.5078594465.
Adding to 40533120 its reverse (2133504), we get a palindrome (42666624).
The spelling of 40533120 in words is "forty million, five hundred thirty-three thousand, one hundred twenty".
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