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71013760 = 2751761107
BaseRepresentation
bin1000011101110…
…01010110000000
311221121212120021
410032321112000
5121134420020
611014023224
71521415126
oct416712600
9157555507
1071013760
11370a3764
121b947b14
131193509c
149607916
15637b1aa
hex43b9580

71013760 has 128 divisors (see below), whose sum is σ = 184407840. Its totient is φ = 26050560.

The previous prime is 71013751. The next prime is 71013781. The reversal of 71013760 is 6731017.

It is a tau number, because it is divible by the number of its divisors (128).

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, 663627 + ... + 663733.

Almost surely, 271013760 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 71013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203920).

71013760 is an abundant number, since it is smaller than the sum of its proper divisors (113394080).

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

71013760 is a wasteful number, since it uses less digits than its factorization.

71013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 71013760 is about 8426.9662394007. The cubic root of 71013760 is about 414.1085232859.

Adding to 71013760 its reverse (6731017), we get a palindrome (77744777).

The spelling of 71013760 in words is "seventy-one million, thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 107 122 128 136 160 170 214 244 272 305 320 340 428 488 535 544 610 640 680 856 976 1037 1070 1088 1220 1360 1712 1819 1952 2074 2140 2176 2440 2720 3424 3638 3904 4148 4280 4880 5185 5440 6527 6848 7276 7808 8296 8560 9095 9760 10370 10880 13054 13696 14552 16592 17120 18190 19520 20740 26108 29104 32635 33184 34240 36380 39040 41480 52216 58208 65270 66368 68480 72760 82960 104432 110959 116416 130540 132736 145520 165920 208864 221918 232832 261080 291040 331840 417728 443836 522160 554795 582080 663680 835456 887672 1044320 1109590 1164160 1775344 2088640 2219180 3550688 4177280 4438360 7101376 8876720 14202752 17753440 35506880 71013760