Search a number
-
+
1306701018 = 23373456881
BaseRepresentation
bin100110111100010…
…1010110011011010
310101001210021211000
41031320222303122
510134003413033
6333355045430
744244526650
oct11570526332
93331707730
101306701018
116106648a7
12305740876
1317a94308c
14c5786dd0
1579ab5a13
hex4de2acda

1306701018 has 32 divisors (see below), whose sum is σ = 3318606720. Its totient is φ = 373343040.

The previous prime is 1306701017. The next prime is 1306701029. The reversal of 1306701018 is 8101076031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1306700982 and 1306701000.

It is not an unprimeable number, because it can be changed into a prime (1306701017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1728063 + ... + 1728818.

It is an arithmetic number, because the mean of its divisors is an integer number (103706460).

Almost surely, 21306701018 is an apocalyptic number.

1306701018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1306701018 is an abundant number, since it is smaller than the sum of its proper divisors (2011905702).

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

1306701018 is a wasteful number, since it uses less digits than its factorization.

1306701018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456899 (or 3456893 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1306701018 is about 36148.3197119866. The cubic root of 1306701018 is about 1093.2649120834.

Adding to 1306701018 its reverse (8101076031), we get a palindrome (9407777049).

The spelling of 1306701018 in words is "one billion, three hundred six million, seven hundred one thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 3456881 6913762 10370643 20741286 24198167 31111929 48396334 62223858 72594501 93335787 145189002 186671574 217783503 435567006 653350509 1306701018