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1307225466 = 234374672
BaseRepresentation
bin100110111101010…
…1010110101111010
310101002202221020000
41031322222311322
510134122203331
6333414213430
744252142651
oct11572526572
93332687200
101307225466
11610992928
12305954276
1317aa979c1
14c5882198
1579b6b0e6
hex4deaad7a

1307225466 has 60 divisors (see below), whose sum is σ = 3014775258. Its totient is φ = 423057168.

The previous prime is 1307225459. The next prime is 1307225497. The reversal of 1307225466 is 6645227031.

It can be written as a sum of positive squares in only one way, i.e., 865595241 + 441630225 = 29421^2 + 21015^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1307225466.

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 29 ways as a sum of consecutive naturals, for example, 2798965 + ... + 2799431.

Almost surely, 21307225466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307225466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507387629).

1307225466 is an abundant number, since it is smaller than the sum of its proper divisors (1707549792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1307225466 is an frugal number, since it uses more digits than its factorization.

1307225466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1307225466 is about 36155.5730973802. The cubic root of 1307225466 is about 1093.4111541334.

The spelling of 1307225466 in words is "one billion, three hundred seven million, two hundred twenty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 467 666 934 999 1401 1998 2802 2997 4203 5994 8406 12609 17279 25218 34558 37827 51837 75654 103674 155511 218089 311022 436178 466533 654267 933066 1308534 1399599 1962801 2799198 3925602 5888403 8069293 11776806 16138586 17665209 24207879 35330418 48415758 72623637 145247274 217870911 435741822 653612733 1307225466