Search a number
-
+
1313747140 = 2253119310979
BaseRepresentation
bin100111001001110…
…0011000011000100
310101120001021021111
41032103203003010
510142304402030
6334210054404
744361444406
oct11623430304
93346037244
101313747140
11614637742
12307b7a404
1317c23c294
14c669cb76
157a50862a
hex4e4e30c4

1313747140 has 48 divisors (see below), whose sum is σ = 2862881280. Its totient is φ = 505866240.

The previous prime is 1313747129. The next prime is 1313747147. The reversal of 1313747140 is 417473131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1313747147) 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, 114171 + ... + 125149.

It is an arithmetic number, because the mean of its divisors is an integer number (59643360).

Almost surely, 21313747140 is an apocalyptic number.

1313747140 is a gapful number since it is divisible by the number (10) 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 1313747140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431440640).

1313747140 is an abundant number, since it is smaller than the sum of its proper divisors (1549134140).

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

1313747140 is a wasteful number, since it uses less digits than its factorization.

1313747140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11210 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1313747140 is about 36245.6499458901. The cubic root of 1313747140 is about 1095.2264608102.

The spelling of 1313747140 in words is "one billion, three hundred thirteen million, seven hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 193 310 386 620 772 965 1930 3860 5983 10979 11966 21958 23932 29915 43916 54895 59830 109790 119660 219580 340349 680698 1361396 1701745 2118947 3403490 4237894 6806980 8475788 10594735 21189470 42378940 65687357 131374714 262749428 328436785 656873570 1313747140