Search a number
-
+
71343160 = 2357614177
BaseRepresentation
bin1000100000010…
…01110000111000
311222020121102021
410100021300320
5121230440120
611025044224
71524256360
oct420116070
9158217367
1071343160
11372a9199
121ba86674
1311a1bcb5
1496919a0
1563e3aaa
hex4409c38

71343160 has 64 divisors (see below), whose sum is σ = 186505920. Its totient is φ = 24053760.

The previous prime is 71343131. The next prime is 71343163. The reversal of 71343160 is 6134317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71343163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14992 + ... + 19168.

It is an arithmetic number, because the mean of its divisors is an integer number (2914155).

Almost surely, 271343160 is an apocalyptic number.

71343160 is a gapful number since it is divisible by the number (70) 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 71343160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93252960).

71343160 is an abundant number, since it is smaller than the sum of its proper divisors (115162760).

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

71343160 is a wasteful number, since it uses less digits than its factorization.

71343160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 71343160 is about 8446.4880275769. The cubic root of 71343160 is about 414.7478218256.

Adding to 71343160 its reverse (6134317), we get a palindrome (77477477).

The spelling of 71343160 in words is "seventy-one million, three hundred forty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4177 4270 8354 8540 16708 17080 20885 29239 33416 41770 58478 83540 116956 146195 167080 233912 254797 292390 509594 584780 1019188 1169560 1273985 1783579 2038376 2547970 3567158 5095940 7134316 8917895 10191880 14268632 17835790 35671580 71343160