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71330112 = 263375897
BaseRepresentation
bin1000100000001…
…10100101000000
311222012221112000
410100012211000
5121230030422
611024504000
71524203340
oct420064500
9158187460
1071330112
113729a407
121ba7b000
1311a16089
14968ad20
1563decac
hex4406940

71330112 has 112 divisors (see below), whose sum is σ = 239694720. Its totient is φ = 20376576.

The previous prime is 71330081. The next prime is 71330131. The reversal of 71330112 is 21103317.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9148 + ... + 15044.

Almost surely, 271330112 is an apocalyptic number.

71330112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119847360).

71330112 is an abundant number, since it is smaller than the sum of its proper divisors (168364608).

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

71330112 is a wasteful number, since it uses less digits than its factorization.

71330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 71330112 is about 8445.7156002319. The cubic root of 71330112 is about 414.7225357784.

Adding to 71330112 its reverse (21103317), we get a palindrome (92433429).

The spelling of 71330112 in words is "seventy-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5897 6048 11794 12096 17691 23588 35382 41279 47176 53073 70764 82558 94352 106146 123837 141528 159219 165116 188704 212292 247674 283056 318438 330232 371511 377408 424584 495348 566112 636876 660464 743022 849168 990696 1114533 1132224 1273752 1320928 1486044 1698336 1981392 2229066 2547504 2641856 2972088 3396672 3962784 4458132 5095008 5944176 7925568 8916264 10190016 11888352 17832528 23776704 35665056 71330112