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71541666 = 23272292797
BaseRepresentation
bin1000100001110…
…10001110100010
311222121200201100
410100322032202
5121303313131
611033215230
71526044200
oct420721642
9158550640
1071541666
1137424349
121bb61516
1311a8b461
149704070
1564327e6
hex443a3a2

71541666 has 72 divisors (see below), whose sum is σ = 186598620. Its totient is φ = 19728576.

The previous prime is 71541649. The next prime is 71541667. The reversal of 71541666 is 66614517.

It can be written as a sum of positive squares in 2 ways, for example, as 70207641 + 1334025 = 8379^2 + 1155^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71541666.

It is not an unprimeable number, because it can be changed into a prime (71541667) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 24180 + ... + 26976.

Almost surely, 271541666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71541666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93299310).

71541666 is an abundant number, since it is smaller than the sum of its proper divisors (115056954).

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

71541666 is a wasteful number, since it uses less digits than its factorization.

71541666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2838 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 71541666 is about 8458.2306660436. The cubic root of 71541666 is about 415.1321319232.

The spelling of 71541666 in words is "seventy-one million, five hundred forty-one thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2797 2842 3654 4263 5594 8391 8526 12789 16782 19579 25173 25578 39158 50346 58737 81113 117474 137053 162226 176211 243339 274106 352422 411159 486678 567791 730017 822318 1135582 1233477 1460034 1703373 2466954 3406746 3974537 5110119 7949074 10220238 11923611 23847222 35770833 71541666