| Base | Representation |
|---|---|
| bin | 101000010100101… |
| … | …0010010001101000 |
| 3 | 10111021220112010121 |
| 4 | 1100221102101220 |
| 5 | 10232332000130 |
| 6 | 342131253024 |
| 7 | 45346211350 |
| oct | 12051222150 |
| 9 | 3437815117 |
| 10 | 1353000040 |
| 11 | 634807a57 |
| 12 | 31914a174 |
| 13 | 187403a52 |
| 14 | cb999b60 |
| 15 | 7dbadd7a |
| hex | 50a52468 |
1353000040 has 64 divisors (see below), whose sum is σ = 3513663360. Its totient is φ = 459283200.
The previous prime is 1353000037. The next prime is 1353000043. The reversal of 1353000040 is 400003531.
It is an interprime number because it is at equal distance from previous prime (1353000037) and next prime (1353000043).
It is a junction number, because it is equal to n+sod(n) for n = 1352999978 and 1353000023.
It is not an unprimeable number, because it can be changed into a prime (1353000043) 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 15 ways as a sum of consecutive naturals, for example, 4359 + ... + 52201.
It is an arithmetic number, because the mean of its divisors is an integer number (54900990).
Almost surely, 21353000040 is an apocalyptic number.
1353000040 is a gapful number since it is divisible by the number (10) 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 1353000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756831680).
1353000040 is an abundant number, since it is smaller than the sum of its proper divisors (2160663320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1353000040 is a wasteful number, since it uses less digits than its factorization.
1353000040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47962 (or 47958 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 1353000040 is about 36783.1488592263. The cubic root of 1353000040 is about 1106.0275284806.
Adding to 1353000040 its reverse (400003531), we get a palindrome (1753003571).
The spelling of 1353000040 in words is "one billion, three hundred fifty-three million, forty", and thus it is an aban number.
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