| Base | Representation |
|---|---|
| bin | 1001100111110… |
| … | …0110100000000 |
| 3 | 2210221100120011 |
| 4 | 2121330310000 |
| 5 | 40312411440 |
| 6 | 4000554304 |
| 7 | 1000013146 |
| oct | 231746400 |
| 9 | 83840504 |
| 10 | 40357120 |
| 11 | 208649a1 |
| 12 | 11622994 |
| 13 | 849026b |
| 14 | 5507596 |
| 15 | 38229ea |
| hex | 267cd00 |
40357120 has 72 divisors (see below), whose sum is σ = 99154440. Its totient is φ = 15728640.
The previous prime is 40357117. The next prime is 40357123. The reversal of 40357120 is 2175304.
It is an interprime number because it is at equal distance from previous prime (40357117) and next prime (40357123).
It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 40347904 = 96^2 + 6352^2 .
It is a junction number, because it is equal to n+sod(n) for n = 40357091 and 40357100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40357123) 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 7 ways as a sum of consecutive naturals, for example, 52096 + ... + 52864.
It is an arithmetic number, because the mean of its divisors is an integer number (1377145).
Almost surely, 240357120 is an apocalyptic number.
40357120 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 40357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49577220).
40357120 is an abundant number, since it is smaller than the sum of its proper divisors (58797320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40357120 is an equidigital number, since it uses as much as digits as its factorization.
40357120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 831 (or 817 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 22.
The square root of 40357120 is about 6352.7253993857. The cubic root of 40357120 is about 343.0099530470.
The spelling of 40357120 in words is "forty million, three hundred fifty-seven thousand, one hundred twenty".
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