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71068160 = 295172371
BaseRepresentation
bin1000011110001…
…10101000000000
311221201122012002
410033012220000
5121143140120
611015123132
71522032542
oct417065000
9157648162
1071068160
1137130619
121b9734a8
1311953a87
14961d692
15638c375
hex43c6a00

71068160 has 160 divisors (see below), whose sum is σ = 190916352. Its totient is φ = 25231360.

The previous prime is 71068159. The next prime is 71068181. The reversal of 71068160 is 6186017.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000925 + ... + 1000995.

Almost surely, 271068160 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 71068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95458176).

71068160 is an abundant number, since it is smaller than the sum of its proper divisors (119848192).

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

71068160 is a wasteful number, since it uses less digits than its factorization.

71068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 71068160 is about 8430.1933548407. The cubic root of 71068160 is about 414.2142387309.

The spelling of 71068160 in words is "seventy-one million, sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 71 80 85 92 115 128 136 142 160 170 184 230 256 272 284 320 340 355 368 391 460 512 544 568 640 680 710 736 782 920 1088 1136 1207 1280 1360 1420 1472 1564 1633 1840 1955 2176 2272 2414 2560 2720 2840 2944 3128 3266 3680 3910 4352 4544 4828 5440 5680 5888 6035 6256 6532 7360 7820 8165 8704 9088 9656 10880 11360 11776 12070 12512 13064 14720 15640 16330 18176 19312 21760 22720 24140 25024 26128 27761 29440 31280 32660 36352 38624 43520 45440 48280 50048 52256 55522 58880 62560 65320 77248 90880 96560 100096 104512 111044 125120 130640 138805 154496 181760 193120 200192 209024 222088 250240 261280 277610 308992 386240 418048 444176 500480 522560 555220 617984 772480 836096 888352 1000960 1045120 1110440 1544960 1776704 2090240 2220880 3089920 3553408 4180480 4441760 7106816 8883520 14213632 17767040 35534080 71068160