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71160258 = 231329163193
BaseRepresentation
bin1000011110111…
…01000111000010
311221220022112010
410033131013002
5121204112013
611021113350
71522565211
oct417350702
9157808463
1071160258
1137193834
121b9b8856
1311986980
149645078
1563a97c3
hex43dd1c2

71160258 has 64 divisors (see below), whose sum is σ = 160352640. Its totient is φ = 20901888.

The previous prime is 71160253. The next prime is 71160269. The reversal of 71160258 is 85206117.

It is a cake number, because a cake can be divided into 71160258 parts by 753 planar cuts.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71160253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368610 + ... + 368802.

It is an arithmetic number, because the mean of its divisors is an integer number (2505510).

Almost surely, 271160258 is an apocalyptic number.

71160258 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71160258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80176320).

71160258 is an abundant number, since it is smaller than the sum of its proper divisors (89192382).

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

71160258 is a wasteful number, since it uses less digits than its factorization.

71160258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71160258 is about 8435.6539758338. The cubic root of 71160258 is about 414.3930897376.

The spelling of 71160258 in words is "seventy-one million, one hundred sixty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 163 174 193 326 377 386 489 579 754 978 1131 1158 2119 2262 2509 4238 4727 5018 5597 6357 7527 9454 11194 12714 14181 15054 16791 28362 31459 33582 61451 62918 72761 94377 122902 145522 184353 188754 218283 368706 408967 436566 817934 912311 1226901 1824622 2453802 2736933 5473866 11860043 23720086 35580129 71160258