| Base | Representation |
|---|---|
| bin | 111011101010100… |
| … | …110101000000000 |
| 3 | 2120202121021202222 |
| 4 | 323222212220000 |
| 5 | 4022230232000 |
| 6 | 243155230212 |
| 7 | 33543364214 |
| oct | 7352465000 |
| 9 | 2522537688 |
| 10 | 1001024000 |
| 11 | 474063169 |
| 12 | 23b2a8368 |
| 13 | 12c5082c2 |
| 14 | 96d36944 |
| 15 | 5cd34a85 |
| hex | 3baa6a00 |
1001024000 has 80 divisors (see below), whose sum is σ = 2496275496. Its totient is φ = 400384000.
The previous prime is 1001023997. The next prime is 1001024021. The reversal of 1001024000 is 4201001.
It can be written as a sum of positive squares in 4 ways, for example, as 646379776 + 354644224 = 25424^2 + 18832^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 56180 + ... + 71820.
Almost surely, 21001024000 is an apocalyptic number.
1001024000 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 1001024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248137748).
1001024000 is an abundant number, since it is smaller than the sum of its proper divisors (1495251496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001024000 is an frugal number, since it uses more digits than its factorization.
1001024000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15674 (or 15648 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 1001024000 is about 31638.9633205641. The cubic root of 1001024000 is about 1000.3412168911.
Adding to 1001024000 its reverse (4201001), we get a palindrome (1005225001).
It can be divided in two parts, 100 and 1024000, that multiplied together give a 5-th power (102400000 = 405).
The spelling of 1001024000 in words is "one billion, one million, twenty-four thousand".
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