Search a number
-
+
131306742 = 232717591039
BaseRepresentation
bin1111101001110…
…01010011110110
3100011002001222200
413310321103312
5232103303432
621010205330
73153042330
oct764712366
9304061880
10131306742
1168134776
1237b83846
13212854c8
1413620450
15b7daa7c
hex7d394f6

131306742 has 96 divisors (see below), whose sum is σ = 350438400. Its totient is φ = 34677504.

The previous prime is 131306737. The next prime is 131306753. The reversal of 131306742 is 247603131.

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 47 ways as a sum of consecutive naturals, for example, 125859 + ... + 126897.

It is an arithmetic number, because the mean of its divisors is an integer number (3650400).

Almost surely, 2131306742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131306742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175219200).

131306742 is an abundant number, since it is smaller than the sum of its proper divisors (219131658).

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

131306742 is a wasteful number, since it uses less digits than its factorization.

131306742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131306742 is about 11458.9153937011. The cubic root of 131306742 is about 508.2714026018.

Adding to 131306742 its reverse (247603131), we get a palindrome (378909873).

The spelling of 131306742 in words is "one hundred thirty-one million, three hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 59 63 102 118 119 126 153 177 238 306 354 357 413 531 714 826 1003 1039 1062 1071 1239 2006 2078 2142 2478 3009 3117 3717 6018 6234 7021 7273 7434 9027 9351 14042 14546 17663 18054 18702 21063 21819 35326 42126 43638 52989 61301 63189 65457 105978 122602 123641 126378 130914 158967 183903 247282 317934 367806 370923 429107 551709 741846 858214 1042117 1103418 1112769 1287321 2084234 2225538 2574642 3126351 3861963 6252702 7294819 7723926 9379053 14589638 18758106 21884457 43768914 65653371 131306742