| Base | Representation |
|---|---|
| bin | 111011110110011… |
| … | …010111000000000 |
| 3 | 2120222102122212220 |
| 4 | 323312122320000 |
| 5 | 4024023342400 |
| 6 | 243345451040 |
| 7 | 33611615136 |
| oct | 7366327000 |
| 9 | 2528378786 |
| 10 | 1004121600 |
| 11 | 475889469 |
| 12 | 240340a80 |
| 13 | 1300511c1 |
| 14 | 97501756 |
| 15 | 5d2477a0 |
| hex | 3bd9ae00 |
1004121600 has 240 divisors, whose sum is σ = 3369189120. Its totient is φ = 263577600.
The previous prime is 1004121553. The next prime is 1004121617. The reversal of 1004121600 is 61214001.
1004121600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1004121600.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3033435 + ... + 3033765.
It is an arithmetic number, because the mean of its divisors is an integer number (14038288).
Almost surely, 21004121600 is an apocalyptic number.
1004121600 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 1004121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684594560).
1004121600 is an abundant number, since it is smaller than the sum of its proper divisors (2365067520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004121600 is an equidigital number, since it uses as much as digits as its factorization.
1004121600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 441 (or 420 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 1004121600 is about 31687.8778083986. The cubic root of 1004121600 is about 1001.3719834672.
Adding to 1004121600 its reverse (61214001), we get a palindrome (1065335601).
The spelling of 1004121600 in words is "one billion, four million, one hundred twenty-one thousand, six hundred".
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