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71066970 = 23451317397
BaseRepresentation
bin1000011110001…
…10010101011010
311221201120120000
410033012111122
5121143120340
611015113430
71522026222
oct417062532
9157646500
1071066970
113712a737
121b972876
1311953380
14961d082
15638bd30
hex43c655a

71066970 has 160 divisors (see below), whose sum is σ = 218444688. Its totient is φ = 16422912.

The previous prime is 71066959. The next prime is 71066993. The reversal of 71066970 is 7966017.

It can be written as a sum of positive squares in 8 ways, for example, as 33281361 + 37785609 = 5769^2 + 6147^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178812 + ... + 179208.

Almost surely, 271066970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71066970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109222344).

71066970 is an abundant number, since it is smaller than the sum of its proper divisors (147377718).

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

71066970 is a wasteful number, since it uses less digits than its factorization.

71066970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 71066970 is about 8430.1227749067. The cubic root of 71066970 is about 414.2119267828.

The spelling of 71066970 in words is "seventy-one million, sixty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 397 405 442 459 510 585 663 702 765 794 810 918 1053 1105 1170 1191 1326 1377 1530 1755 1985 1989 2106 2210 2295 2382 2754 3315 3510 3573 3970 3978 4590 5161 5265 5955 5967 6630 6749 6885 7146 9945 10322 10530 10719 11910 11934 13498 13770 15483 17865 17901 19890 20247 21438 25805 29835 30966 32157 33745 35730 35802 40494 46449 51610 53595 59670 60741 64314 67490 77415 87737 89505 92898 101235 107190 121482 139347 154830 160785 175474 179010 182223 202470 232245 263211 278694 303705 321570 364446 418041 438685 464490 526422 546669 607410 696735 789633 836082 877370 911115 1093338 1316055 1393470 1579266 1822230 2090205 2368899 2632110 2733345 3948165 4180410 4737798 5466690 7106697 7896330 11844495 14213394 23688990 35533485 71066970