Search a number
-
+
71361784 = 231317181223
BaseRepresentation
bin1000100000011…
…10010011111000
311222021112222001
410100032103320
5121232034114
611025310344
71524364564
oct420162370
9158245861
1071361784
113731118a
121ba953b4
1311a27610
1496986a4
1563e9374
hex440e4f8

71361784 has 64 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 30689280.

The previous prime is 71361769. The next prime is 71361817. The reversal of 71361784 is 48716317.

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 15 ways as a sum of consecutive naturals, for example, 319897 + ... + 320119.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 271361784 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 71361784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

71361784 is an abundant number, since it is smaller than the sum of its proper divisors (82741256).

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

71361784 is a wasteful number, since it uses less digits than its factorization.

71361784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 71361784 is about 8447.5904256776. The cubic root of 71361784 is about 414.7839084030.

It can be divided in two parts, 7136 and 1784, that multiplied together give a square (12730624 = 35682).

The spelling of 71361784 in words is "seventy-one million, three hundred sixty-one thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 181 221 223 362 442 446 724 884 892 1448 1768 1784 2353 2899 3077 3791 4706 5798 6154 7582 9412 11596 12308 15164 18824 23192 24616 30328 40001 40363 49283 80002 80726 98566 160004 161452 197132 320008 322904 394264 524719 686171 1049438 1372342 2098876 2744684 4197752 5489368 8920223 17840446 35680892 71361784