| Base | Representation |
|---|---|
| bin | 111111111110010… |
| … | …010010010000000 |
| 3 | 2202210120220101222 |
| 4 | 333332102102000 |
| 5 | 4144230324131 |
| 6 | 254300214212 |
| 7 | 35411556260 |
| oct | 7776222200 |
| 9 | 2683526358 |
| 10 | 1073292416 |
| 11 | 500933529 |
| 12 | 25b53a368 |
| 13 | 14148c491 |
| 14 | a27897a0 |
| 15 | 6435c87b |
| hex | 3ff92480 |
1073292416 has 128 divisors (see below), whose sum is σ = 2672040960. Its totient is φ = 418775040.
The previous prime is 1073292403. The next prime is 1073292421. The reversal of 1073292416 is 6142923701.
1073292416 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 (128).
It is a super-2 number, since 2×10732924162 = 2303913220486234112, which contains 22 as substring.
It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.
It is a nialpdrome in base 8.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471056 + ... + 473328.
It is an arithmetic number, because the mean of its divisors is an integer number (20875320).
Almost surely, 21073292416 is an apocalyptic number.
1073292416 is a gapful number since it is divisible by the number (16) 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 1073292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336020480).
1073292416 is an abundant number, since it is smaller than the sum of its proper divisors (1598748544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1073292416 is a wasteful number, since it uses less digits than its factorization.
1073292416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2342 (or 2330 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 35.
The square root of 1073292416 is about 32761.1418604419. The cubic root of 1073292416 is about 1023.8571171082.
The spelling of 1073292416 in words is "one billion, seventy-three million, two hundred ninety-two thousand, four hundred sixteen".
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