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71713616 = 24131721193
BaseRepresentation
bin1000100011001…
…00001101010000
311222221102120212
410101210031100
5121324313431
611041023252
71530361412
oct421441520
9158842525
1071713616
1137531557
1220024b28
1311b1b7c0
14974a9b2
15646872b
hex4464350

71713616 has 60 divisors (see below), whose sum is σ = 159086172. Its totient is φ = 31125504.

The previous prime is 71713601. The next prime is 71713627. The reversal of 71713616 is 61631717.

It can be written as a sum of positive squares in 6 ways, for example, as 817216 + 70896400 = 904^2 + 8420^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59516 + ... + 60708.

Almost surely, 271713616 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 71713616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79543086).

71713616 is an abundant number, since it is smaller than the sum of its proper divisors (87372556).

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

71713616 is a wasteful number, since it uses less digits than its factorization.

71713616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1225 counting only the distinct ones).

The product of its digits is 5292, while the sum is 32.

The square root of 71713616 is about 8468.3892210975. The cubic root of 71713616 is about 415.4644550835.

The spelling of 71713616 in words is "seventy-one million, seven hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 578 884 1156 1193 1768 2312 2386 3536 3757 4624 4772 7514 9544 15028 15509 19088 20281 30056 31018 40562 60112 62036 81124 124072 162248 248144 263653 324496 344777 527306 689554 1054612 1379108 2109224 2758216 4218448 4482101 5516432 8964202 17928404 35856808 71713616