| Base | Representation |
|---|---|
| bin | 100111011000111… |
| … | …0001001101000000 |
| 3 | 10102002221202122000 |
| 4 | 1032301301031000 |
| 5 | 10201321410230 |
| 6 | 335051544000 |
| 7 | 44516001450 |
| oct | 11661611500 |
| 9 | 3362852560 |
| 10 | 1321669440 |
| 11 | 6190588a3 |
| 12 | 30a75b000 |
| 13 | 180a84230 |
| 14 | c7761d60 |
| 15 | 7b070b60 |
| hex | 4ec71340 |
1321669440 has 672 divisors, whose sum is σ = 5881908480. Its totient is φ = 272056320.
The previous prime is 1321669423. The next prime is 1321669463. The reversal of 1321669440 is 449661231.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1321669395 and 1321669404.
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 95 ways as a sum of consecutive naturals, for example, 32235820 + ... + 32235860.
It is an arithmetic number, because the mean of its divisors is an integer number (8752840).
Almost surely, 21321669440 is an apocalyptic number.
1321669440 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 1321669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940954240).
1321669440 is an abundant number, since it is smaller than the sum of its proper divisors (4560239040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1321669440 is a wasteful number, since it uses less digits than its factorization.
1321669440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 71 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 1321669440 is about 36354.7719013612. The cubic root of 1321669440 is about 1097.4235679602.
It can be divided in two parts, 1321 and 669440, that added together give a square (670761 = 8192).
The spelling of 1321669440 in words is "one billion, three hundred twenty-one million, six hundred sixty-nine thousand, four hundred forty".
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