Search a number
-
+
1306110140 = 2255910091097
BaseRepresentation
bin100110111011001…
…1010100010111100
310101000200021021122
41031312122202330
510133331011030
6333334250112
744236516166
oct11566324274
93330607248
101306110140
116102a0975
123054b6938
1317a79714a
14c5671936
15799ea8e5
hex4dd9a8bc

1306110140 has 48 divisors (see below), whose sum is σ = 2794629600. Its totient is φ = 512612352.

The previous prime is 1306110139. The next prime is 1306110151. The reversal of 1306110140 is 410116031.

It is a congruent number.

It is an unprimeable number.

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, 1190072 + ... + 1191168.

It is an arithmetic number, because the mean of its divisors is an integer number (58221450).

Almost surely, 21306110140 is an apocalyptic number.

1306110140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306110140 is an abundant number, since it is smaller than the sum of its proper divisors (1488519460).

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

1306110140 is a wasteful number, since it uses less digits than its factorization.

1306110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1306110140 is about 36140.1458215099. The cubic root of 1306110140 is about 1093.1000991767.

Adding to 1306110140 its reverse (410116031), we get a palindrome (1716226171).

The spelling of 1306110140 in words is "one billion, three hundred six million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 590 1009 1097 1180 2018 2194 4036 4388 5045 5485 10090 10970 20180 21940 59531 64723 119062 129446 238124 258892 297655 323615 595310 647230 1106873 1190620 1294460 2213746 4427492 5534365 11068730 22137460 65305507 130611014 261222028 326527535 653055070 1306110140