Search a number
-
+
71305580 = 22531472447
BaseRepresentation
bin1000100000000…
…00100101101100
311222011200212102
410100000211230
5121223234310
611024154232
71524041663
oct420004554
9158150772
1071305580
1137282a35
121ba68978
1311a07b68
149681dda
1563d78a5
hex440096c

71305580 has 48 divisors (see below), whose sum is σ = 157925376. Its totient is φ = 27003840.

The previous prime is 71305579. The next prime is 71305607. The reversal of 71305580 is 8550317.

It is a super-3 number, since 3×713055803 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27917 + ... + 30363.

It is an arithmetic number, because the mean of its divisors is an integer number (3290112).

Almost surely, 271305580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71305580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78962688).

71305580 is an abundant number, since it is smaller than the sum of its proper divisors (86619796).

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

71305580 is a wasteful number, since it uses less digits than its factorization.

71305580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 71305580 is about 8444.2631413286. The cubic root of 71305580 is about 414.6749862488.

Adding to 71305580 its reverse (8550317), we get a palindrome (79855897).

The spelling of 71305580 in words is "seventy-one million, three hundred five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1457 2447 2914 4894 5828 7285 9788 12235 14570 24470 29140 48940 75857 115009 151714 230018 303428 379285 460036 575045 758570 1150090 1517140 2300180 3565279 7130558 14261116 17826395 35652790 71305580