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71130465 = 32571737359
BaseRepresentation
bin1000011110101…
…01110101100001
311221211210122200
410033111311201
5121202133330
611020323413
71522412310
oct417256541
9157753580
1071130465
113717340a
121b9a3569
1311976243
149638277
1563a0a60
hex43d5d61

71130465 has 96 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 29693952.

The previous prime is 71130439. The next prime is 71130469. The reversal of 71130465 is 56403117.

71130465 is a `hidden beast` number, since 71 + 130 + 465 = 666.

It is not a de Polignac number, because 71130465 - 26 = 71130401 is a prime.

It is a super-2 number, since 2×711304652 = 10119086102232450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71130469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197956 + ... + 198314.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 271130465 is an apocalyptic number.

It is an amenable number.

71130465 is an abundant number, since it is smaller than the sum of its proper divisors (82523295).

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

71130465 is a wasteful number, since it uses less digits than its factorization.

71130465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71130465 is about 8433.8878934925. The cubic root of 71130465 is about 414.3352496966.

The spelling of 71130465 in words is "seventy-one million, one hundred thirty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 17 21 35 37 45 51 63 85 105 111 119 153 185 255 259 315 333 357 359 555 595 629 765 777 1071 1077 1295 1665 1785 1795 1887 2331 2513 3145 3231 3885 4403 5355 5385 5661 6103 7539 9435 11655 12565 13209 13283 16155 18309 22015 22617 28305 30515 37695 39627 39849 42721 54927 66045 66415 91545 92981 113085 119547 128163 198135 199245 213605 225811 274635 278943 384489 464905 597735 640815 677433 836829 1129055 1394715 1580677 1922445 2032299 3387165 4184145 4742031 7903385 10161495 14226093 23710155 71130465