| Base | Representation |
|---|---|
| bin | 111001010000001… |
| … | …0010111101100100 |
| 3 | 11221212211102010000 |
| 4 | 1302200102331210 |
| 5 | 12413243201100 |
| 6 | 514343101300 |
| 7 | 65414546652 |
| oct | 16240227544 |
| 9 | 4855742100 |
| 10 | 1921068900 |
| 11 | 8a6436553 |
| 12 | 457441830 |
| 13 | 247ccc67a |
| 14 | 1431cddd2 |
| 15 | b39c0900 |
| hex | 72812f64 |
1921068900 has 135 divisors (see below), whose sum is σ = 6240159849. Its totient is φ = 511233120.
The previous prime is 1921068883. The next prime is 1921068917. The reversal of 1921068900 is 98601291.
The square root of 1921068900 is 43830.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (1921068883) and next prime (1921068917).
It can be written as a sum of positive squares in only one way, i.e., 691584804 + 1229484096 = 26298^2 + 35064^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3944457 + ... + 3944943.
Almost surely, 21921068900 is an apocalyptic number.
1921068900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1921068900 is the 43830-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1921068900
1921068900 is an abundant number, since it is smaller than the sum of its proper divisors (4319090949).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1921068900 is an equidigital number, since it uses as much as digits as its factorization.
1921068900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1000 (or 497 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 36.
The cubic root of 1921068900 is about 1243.1236068724.
Multiplying 1921068900 by its sum of digits (36), we get a square (69158480400 = 2629802).
1921068900 divided by its sum of digits (36) gives a square (53363025 = 73052).
The spelling of 1921068900 in words is "one billion, nine hundred twenty-one million, sixty-eight thousand, nine hundred".
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