| Base | Representation |
|---|---|
| bin | 100111101011100… |
| … | …1101100000000000 |
| 3 | 10102210102102121010 |
| 4 | 1033113031200000 |
| 5 | 10211330002142 |
| 6 | 340042200520 |
| 7 | 44665301340 |
| oct | 11727154000 |
| 9 | 3383372533 |
| 10 | 1331484672 |
| 11 | 623652161 |
| 12 | 311ab3140 |
| 13 | 182b0c96b |
| 14 | c8b98d20 |
| 15 | 7bd5de9c |
| hex | 4f5cd800 |
1331484672 has 192 divisors, whose sum is σ = 4116752640. Its totient is φ = 374833152.
The previous prime is 1331484653. The next prime is 1331484677. The reversal of 1331484672 is 2764841331.
It is a tau number, because it is divible by the number of its divisors (192).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 1331484672.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1331484677) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 3569478 + ... + 3569850.
It is an arithmetic number, because the mean of its divisors is an integer number (21441420).
Almost surely, 21331484672 is an apocalyptic number.
1331484672 is a gapful number since it is divisible by the number (12) 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 1331484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058376320).
1331484672 is an abundant number, since it is smaller than the sum of its proper divisors (2785267968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331484672 is an equidigital number, since it uses as much as digits as its factorization.
1331484672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488 (or 468 counting only the distinct ones).
The product of its digits is 96768, while the sum is 39.
The square root of 1331484672 is about 36489.5145487029. The cubic root of 1331484672 is about 1100.1335022541.
The spelling of 1331484672 in words is "one billion, three hundred thirty-one million, four hundred eighty-four thousand, six hundred seventy-two".
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