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71059040 = 25513127269
BaseRepresentation
bin1000011110001…
…00011001100000
311221201011200022
410033010121200
5121142342130
611015013012
71521664133
oct417043140
9157634608
1071059040
1137124788
121b96a168
131194c890
14961a21a
1563897e5
hex43c4660

71059040 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 25933824.

The previous prime is 71058989. The next prime is 71059063. The reversal of 71059040 is 4095017.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 264026 + ... + 264294.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 271059040 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 71059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

71059040 is an abundant number, since it is smaller than the sum of its proper divisors (111832480).

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

71059040 is a wasteful number, since it uses less digits than its factorization.

71059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 71059040 is about 8429.6524246258. The cubic root of 71059040 is about 414.1965196123.

The spelling of 71059040 in words is "seventy-one million, fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 127 130 160 208 254 260 269 416 508 520 538 635 1016 1040 1076 1270 1345 1651 2032 2080 2152 2540 2690 3302 3497 4064 4304 5080 5380 6604 6994 8255 8608 10160 10760 13208 13988 16510 17485 20320 21520 26416 27976 33020 34163 34970 43040 52832 55952 66040 68326 69940 111904 132080 136652 139880 170815 264160 273304 279760 341630 444119 546608 559520 683260 888238 1093216 1366520 1776476 2220595 2733040 3552952 4441190 5466080 7105904 8882380 14211808 17764760 35529520 71059040