| Base | Representation |
|---|---|
| bin | 111100000000101… |
| … | …111110010100000 |
| 3 | 2121011112012100000 |
| 4 | 330000233302200 |
| 5 | 4030222004304 |
| 6 | 243523500000 |
| 7 | 33643621440 |
| oct | 7400576240 |
| 9 | 2534465300 |
| 10 | 1006828704 |
| 11 | 477368342 |
| 12 | 241227600 |
| 13 | 13078b43b |
| 14 | 97a08120 |
| 15 | 5d5ce939 |
| hex | 3c02fca0 |
1006828704 has 288 divisors, whose sum is σ = 3467318400. Its totient is φ = 281428992.
The previous prime is 1006828679. The next prime is 1006828709. The reversal of 1006828704 is 4078286001.
It is a tau number, because it is divible by the number of its divisors (288).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1006828709) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2884722 + ... + 2885070.
It is an arithmetic number, because the mean of its divisors is an integer number (12039300).
Almost surely, 21006828704 is an apocalyptic number.
1006828704 is a gapful number since it is divisible by the number (14) 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 1006828704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733659200).
1006828704 is an abundant number, since it is smaller than the sum of its proper divisors (2460489696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1006828704 is an equidigital number, since it uses as much as digits as its factorization.
1006828704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 434 (or 414 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 1006828704 is about 31730.5641929040. The cubic root of 1006828704 is about 1002.2710729896.
The spelling of 1006828704 in words is "one billion, six million, eight hundred twenty-eight thousand, seven hundred four".
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