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71059968 = 293272203
BaseRepresentation
bin1000011110001…
…00101000000000
311221201012221200
410033010220000
5121142404333
611015021200
71521666630
oct417045000
9157635850
1071059968
1137125451
121b96a800
1311950125
14961a6c0
156389c13
hex43c4a00

71059968 has 120 divisors (see below), whose sum is σ = 234487968. Its totient is φ = 20293632.

The previous prime is 71059931. The next prime is 71059979. The reversal of 71059968 is 86995017.

It is a super-2 number, since 2×710599682 = 10099038104322048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31155 + ... + 33357.

Almost surely, 271059968 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 71059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117243984).

71059968 is an abundant number, since it is smaller than the sum of its proper divisors (163428000).

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

71059968 is a wasteful number, since it uses less digits than its factorization.

71059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 71059968 is about 8429.7074682340. The cubic root of 71059968 is about 414.1983226796.

It can be divided in two parts, 71059 and 968, that added together give a palindrome (72027).

The spelling of 71059968 in words is "seventy-one million, fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2203 2304 2688 3584 4032 4406 4608 5376 6609 8064 8812 10752 13218 15421 16128 17624 19827 26436 30842 32256 35248 39654 46263 52872 61684 70496 79308 92526 105744 123368 138789 140992 158616 185052 211488 246736 277578 281984 317232 370104 422976 493472 555156 563968 634464 740208 845952 986944 1110312 1127936 1268928 1480416 1691904 1973888 2220624 2537856 2960832 3383808 3947776 4441248 5075712 5921664 7895552 8882496 10151424 11843328 17764992 23686656 35529984 71059968