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71316560 = 2457323113
BaseRepresentation
bin1000100000000…
…11010001010000
311222012020221002
410100003101100
5121224112220
611024321132
71524116000
oct420032120
9158166832
1071316560
1137290207
121ba731a8
1311a0cb63
149686000
1563dac75
hex4403450

71316560 has 160 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 23181312.

The previous prime is 71316559. The next prime is 71316563. The reversal of 71316560 is 6561317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71316563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631064 + ... + 631176.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 271316560 is an apocalyptic number.

71316560 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 71316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

71316560 is an abundant number, since it is smaller than the sum of its proper divisors (132241840).

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

71316560 is a wasteful number, since it uses less digits than its factorization.

71316560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 71316560 is about 8444.9132618399. The cubic root of 71316560 is about 414.6962697522.

Adding to 71316560 its reverse (6561317), we get a palindrome (77877877).

The spelling of 71316560 in words is "seventy-one million, three hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 113 115 140 161 184 196 226 230 245 280 322 343 368 392 452 460 490 560 565 644 686 784 791 805 904 920 980 1127 1130 1288 1372 1582 1610 1715 1808 1840 1960 2254 2260 2576 2599 2744 3164 3220 3430 3920 3955 4508 4520 5198 5488 5537 5635 6328 6440 6860 7889 7910 9016 9040 10396 11074 11270 12656 12880 12995 13720 15778 15820 18032 18193 20792 22148 22540 25990 27440 27685 31556 31640 36386 38759 39445 41584 44296 45080 51980 55370 63112 63280 72772 77518 78890 88592 90160 90965 103960 110740 126224 127351 145544 155036 157780 181930 193795 207920 221480 254702 291088 310072 315560 363860 387590 442960 509404 620144 631120 636755 727720 775180 891457 1018808 1273510 1455440 1550360 1782914 2037616 2547020 3100720 3565828 4457285 5094040 7131656 8914570 10188080 14263312 17829140 35658280 71316560