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71160864 = 2531514909
BaseRepresentation
bin1000011110111…
…01010000100000
311221220100100120
410033131100200
5121204121424
611021120240
71522600035
oct417352040
9157810316
1071160864
1137194235
121b9b9080
1311987028
14964538c
1563a9a79
hex43dd420

71160864 has 48 divisors (see below), whose sum is σ = 188072640. Its totient is φ = 23558400.

The previous prime is 71160857. The next prime is 71160877. The reversal of 71160864 is 46806117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 12042 + ... + 16950.

It is an arithmetic number, because the mean of its divisors is an integer number (3918180).

Almost surely, 271160864 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 71160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94036320).

71160864 is an abundant number, since it is smaller than the sum of its proper divisors (116911776).

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

71160864 is a wasteful number, since it uses less digits than its factorization.

71160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 71160864 is about 8435.6898947270. The cubic root of 71160864 is about 414.3942660566.

The spelling of 71160864 in words is "seventy-one million, one hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 4909 7248 9818 14496 14727 19636 29454 39272 58908 78544 117816 157088 235632 471264 741259 1482518 2223777 2965036 4447554 5930072 8895108 11860144 17790216 23720288 35580432 71160864