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71316720 = 24335137241
BaseRepresentation
bin1000100000000…
…11010011110000
311222012021011000
410100003103300
5121224113340
611024322000
71524116316
oct420032360
9158167130
1071316720
1137290342
121ba73300
1311a0cc57
1496860b6
1563dad30
hex44034f0

71316720 has 160 divisors (see below), whose sum is σ = 248466240. Its totient is φ = 18800640.

The previous prime is 71316703. The next prime is 71316727. The reversal of 71316720 is 2761317.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71316727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295800 + ... + 296040.

It is an arithmetic number, because the mean of its divisors is an integer number (1552914).

Almost surely, 271316720 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 71316720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124233120).

71316720 is an abundant number, since it is smaller than the sum of its proper divisors (177149520).

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

71316720 is a wasteful number, since it uses less digits than its factorization.

71316720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71316720 is about 8444.9227349929. The cubic root of 71316720 is about 414.6965798781.

The spelling of 71316720 in words is "seventy-one million, three hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 137 144 180 216 240 241 270 274 360 411 432 482 540 548 685 720 723 822 964 1080 1096 1205 1233 1370 1446 1644 1928 2055 2160 2169 2192 2410 2466 2740 2892 3288 3615 3699 3856 4110 4338 4820 4932 5480 5784 6165 6507 6576 7230 7398 8220 8676 9640 9864 10845 10960 11568 12330 13014 14460 14796 16440 17352 18495 19280 19728 21690 24660 26028 28920 29592 32535 32880 33017 34704 36990 43380 49320 52056 57840 59184 65070 66034 73980 86760 98640 99051 104112 130140 132068 147960 165085 173520 198102 260280 264136 295920 297153 330170 396204 495255 520560 528272 594306 660340 792408 891459 990510 1188612 1320680 1485765 1584816 1782918 1981020 2377224 2641360 2971530 3565836 3962040 4457295 4754448 5943060 7131672 7924080 8914590 11886120 14263344 17829180 23772240 35658360 71316720