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71313270 = 23571961293
BaseRepresentation
bin1000100000000…
…10011101110110
311222012002102020
410100002131312
5121224011040
611024254010
71524103260
oct420023566
9158162366
1071313270
1137288796
121ba71306
1311a0b502
149684b30
1563d9cd0
hex4402776

71313270 has 128 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 15137280.

The previous prime is 71313269. The next prime is 71313293. The reversal of 71313270 is 7231317.

It is a self number, because there is not a number n which added to its sum of digits gives 71313270.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243244 + ... + 243536.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 271313270 is an apocalyptic number.

71313270 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71313270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

71313270 is an abundant number, since it is smaller than the sum of its proper divisors (138673290).

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

71313270 is a wasteful number, since it uses less digits than its factorization.

71313270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 71313270 is about 8444.7184677762. The cubic root of 71313270 is about 414.6898926839.

Adding to 71313270 its reverse (7231317), we get a palindrome (78544587).

It can be divided in two parts, 7131 and 3270, that added together give a palindrome (10401).

The spelling of 71313270 in words is "seventy-one million, three hundred thirteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 61 70 95 105 114 122 133 183 190 210 266 285 293 305 366 399 427 570 586 610 665 798 854 879 915 1159 1281 1330 1465 1758 1830 1995 2051 2135 2318 2562 2930 3477 3990 4102 4270 4395 5567 5795 6153 6405 6954 8113 8790 10255 11134 11590 12306 12810 16226 16701 17385 17873 20510 24339 27835 30765 33402 34770 35746 38969 40565 48678 53619 55670 61530 77938 81130 83505 89365 107238 116907 121695 125111 167010 178730 194845 233814 243390 250222 268095 339587 375333 389690 536190 584535 625555 679174 750666 1018761 1169070 1251110 1697935 1876665 2037522 2377109 3395870 3753330 4754218 5093805 7131327 10187610 11885545 14262654 23771090 35656635 71313270