Base | Representation |
---|---|
bin | 111111111110101… |
… | …001111110000000 |
3 | 2202210202211111110 |
4 | 333332221332000 |
5 | 4144241430230 |
6 | 254302243320 |
7 | 35412442164 |
oct | 7776517600 |
9 | 2683684443 |
10 | 1073389440 |
11 | 50099a412 |
12 | 25b586540 |
13 | 1414c46a6 |
14 | a27b2ca4 |
15 | 6437b4b0 |
hex | 3ffa9f80 |
1073389440 has 128 divisors (see below), whose sum is σ = 3440517120. Its totient is φ = 284641280.
The previous prime is 1073389423. The next prime is 1073389451. The reversal of 1073389440 is 449833701.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365257 + ... + 368183.
It is an arithmetic number, because the mean of its divisors is an integer number (26879040).
Almost surely, 21073389440 is an apocalyptic number.
1073389440 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 1073389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720258560).
1073389440 is an abundant number, since it is smaller than the sum of its proper divisors (2367127680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1073389440 is a wasteful number, since it uses less digits than its factorization.
1073389440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3140 (or 3128 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 39.
The square root of 1073389440 is about 32762.6226056462. The cubic root of 1073389440 is about 1023.8879678867.
The spelling of 1073389440 in words is "one billion, seventy-three million, three hundred eighty-nine thousand, four hundred forty".
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