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71081136 = 24327151467
BaseRepresentation
bin1000011110010…
…01110010110000
311221202021222200
410033021302300
5121144044021
611015303200
71522115430
oct417116260
9157667880
1071081136
113713a345
121b97ab00
1311959959
1496242c0
156391126
hex43c9cb0

71081136 has 120 divisors (see below), whose sum is σ = 229342464. Its totient is φ = 20131200.

The previous prime is 71081123. The next prime is 71081137. The reversal of 71081136 is 63118017.

It is not an unprimeable number, because it can be changed into a prime (71081137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151975 + ... + 152441.

Almost surely, 271081136 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 71081136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114671232).

71081136 is an abundant number, since it is smaller than the sum of its proper divisors (158261328).

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

71081136 is a wasteful number, since it uses less digits than its factorization.

71081136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71081136 is about 8430.9629343273. The cubic root of 71081136 is about 414.2394470045.

It can be divided in two parts, 71081 and 136, that added together give a palindrome (71217).

The spelling of 71081136 in words is "seventy-one million, eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 467 504 604 906 934 1008 1057 1208 1359 1401 1812 1868 2114 2416 2718 2802 3171 3269 3624 3736 4203 4228 5436 5604 6342 6538 7248 7472 8406 8456 9513 9807 10872 11208 12684 13076 16812 16912 19026 19614 21744 22416 25368 26152 29421 33624 38052 39228 50736 52304 58842 67248 70517 76104 78456 117684 141034 152208 156912 211551 235368 282068 423102 470736 493619 564136 634653 846204 987238 1128272 1269306 1480857 1692408 1974476 2538612 2961714 3384816 3948952 4442571 5077224 5923428 7897904 8885142 10154448 11846856 17770284 23693712 35540568 71081136