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71315580 = 223572127191
BaseRepresentation
bin1000100000000…
…11000001111100
311222012012120210
410100003001330
5121224044310
611024312420
71524113100
oct420030174
9158165523
1071315580
113728a4a6
121ba72710
1311a0c58b
149685900
1563da820
hex440307c

71315580 has 144 divisors (see below), whose sum is σ = 235339776. Its totient is φ = 16087680.

The previous prime is 71315557. The next prime is 71315599. The reversal of 71315580 is 8551317.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373285 + ... + 373475.

It is an arithmetic number, because the mean of its divisors is an integer number (1634304).

Almost surely, 271315580 is an apocalyptic number.

71315580 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 71315580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117669888).

71315580 is an abundant number, since it is smaller than the sum of its proper divisors (164024196).

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

71315580 is a wasteful number, since it uses less digits than its factorization.

71315580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 71315580 is about 8444.8552385461. The cubic root of 71315580 is about 414.6943702204.

Adding to 71315580 its reverse (8551317), we get a palindrome (79866897).

The spelling of 71315580 in words is "seventy-one million, three hundred fifteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 127 140 147 191 196 210 245 254 294 381 382 420 490 508 573 588 635 735 762 764 889 955 980 1146 1270 1337 1470 1524 1778 1905 1910 2292 2540 2667 2674 2865 2940 3556 3810 3820 4011 4445 5334 5348 5730 6223 6685 7620 8022 8890 9359 10668 11460 12446 13335 13370 16044 17780 18669 18718 20055 24257 24892 26670 26740 28077 31115 37338 37436 40110 46795 48514 53340 56154 62230 72771 74676 80220 93345 93590 97028 112308 121285 124460 140385 145542 169799 186690 187180 242570 280770 291084 339598 363855 373380 485140 509397 561540 679196 727710 848995 1018794 1188593 1455420 1697990 2037588 2377186 2546985 3395980 3565779 4754372 5093970 5942965 7131558 10187940 11885930 14263116 17828895 23771860 35657790 71315580