Search a number
-
+
1309630806 = 2321127124407
BaseRepresentation
bin100111000001111…
…0110000101010110
310101021022010201200
41032003312011112
510140231141211
6333541533330
744311451421
oct11603660526
93337263650
101309630806
11612286010
12306714246
1317b42a793
14c5d0a9b8
1579e93b56
hex4e0f6156

1309630806 has 48 divisors (see below), whose sum is σ = 3107040768. Its totient is φ = 395377200.

The previous prime is 1309630801. The next prime is 1309630811. The reversal of 1309630806 is 6080369031.

It is a happy number.

1309630806 is a `hidden beast` number, since 13 + 0 + 9 + 630 + 8 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1309630801) and next prime (1309630811).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309630801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41455 + ... + 65861.

It is an arithmetic number, because the mean of its divisors is an integer number (64730016).

Almost surely, 21309630806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309630806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553520384).

1309630806 is an abundant number, since it is smaller than the sum of its proper divisors (1797409962).

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

1309630806 is a wasteful number, since it uses less digits than its factorization.

1309630806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24697 (or 24694 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1309630806 is about 36188.8215613606. The cubic root of 1309630806 is about 1094.0813813151.

Adding to 1309630806 its reverse (6080369031), we get a palindrome (7389999837).

The spelling of 1309630806 in words is "one billion, three hundred nine million, six hundred thirty thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 813 1626 2439 2981 4878 5962 8943 17886 24407 26829 48814 53658 73221 146442 219663 268477 439326 536954 805431 1610862 2416293 4832586 6614297 13228594 19842891 39685782 59528673 72757267 119057346 145514534 218271801 436543602 654815403 1309630806