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71416260 = 22325419677
BaseRepresentation
bin1000100000110…
…11100111000100
311222101022200200
410100123213010
5121240310020
611030410500
71525012446
oct420334704
9158338620
1071416260
1137349103
121bb00a30
1311a46356
1496b0496
15640a590
hex441b9c4

71416260 has 72 divisors (see below), whose sum is σ = 221935896. Its totient is φ = 18577920.

The previous prime is 71416259. The next prime is 71416283. The reversal of 71416260 is 6261417.

It can be written as a sum of positive squares in 4 ways, for example, as 1258884 + 70157376 = 1122^2 + 8376^2 .

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 23 ways as a sum of consecutive naturals, for example, 2542 + ... + 12218.

It is an arithmetic number, because the mean of its divisors is an integer number (3082443).

Almost surely, 271416260 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 71416260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110967948).

71416260 is an abundant number, since it is smaller than the sum of its proper divisors (150519636).

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

71416260 is a wasteful number, since it uses less digits than its factorization.

71416260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71416260 is about 8450.8141619610. The cubic root of 71416260 is about 414.8894271632.

Adding to 71416260 its reverse (6261417), we get a palindrome (77677677).

The spelling of 71416260 in words is "seventy-one million, four hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 9677 19354 29031 38708 48385 58062 87093 96770 116124 145155 174186 193540 290310 348372 396757 435465 580620 793514 870930 1190271 1587028 1741860 1983785 2380542 3570813 3967570 4761084 5951355 7141626 7935140 11902710 14283252 17854065 23805420 35708130 71416260