| Base | Representation |
|---|---|
| bin | 111011101011111… |
| … | …111000110000000 |
| 3 | 2120210021200212000 |
| 4 | 323223333012000 |
| 5 | 4022323330433 |
| 6 | 243211104000 |
| 7 | 33546433533 |
| oct | 7353770600 |
| 9 | 2523250760 |
| 10 | 1001386368 |
| 11 | 474290444 |
| 12 | 23b442000 |
| 13 | 12c604218 |
| 14 | 96dcca1a |
| 15 | 5cda7113 |
| hex | 3baff180 |
1001386368 has 128 divisors (see below), whose sum is σ = 2991945600. Its totient is φ = 329679360.
The previous prime is 1001386363. The next prime is 1001386369. The reversal of 1001386368 is 8636831001.
1001386368 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 8 + 636 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001386363) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285103 + ... + 288593.
It is an arithmetic number, because the mean of its divisors is an integer number (23374575).
Almost surely, 21001386368 is an apocalyptic number.
1001386368 is a gapful number since it is divisible by the number (18) 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 1001386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495972800).
1001386368 is an abundant number, since it is smaller than the sum of its proper divisors (1990559232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001386368 is an equidigital number, since it uses as much as digits as its factorization.
1001386368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3597 (or 3579 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 1001386368 is about 31644.6894122853. The cubic root of 1001386368 is about 1000.4619092736.
The spelling of 1001386368 in words is "one billion, one million, three hundred eighty-six thousand, three hundred sixty-eight".
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