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71271144 = 2333747137
BaseRepresentation
bin1000011111110…
…00001011101000
311222002221122000
410033320023220
5121221134034
611023331000
71523536410
oct417701350
9158087560
1071271144
113725a07a
121ba50a60
13119c5299
149673640
1563cc599
hex43f82e8

71271144 has 64 divisors (see below), whose sum is σ = 226262400. Its totient is φ = 20362752.

The previous prime is 71271133. The next prime is 71271163. The reversal of 71271144 is 44117217.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22057 + ... + 25080.

It is an arithmetic number, because the mean of its divisors is an integer number (3535350).

Almost surely, 271271144 is an apocalyptic number.

It is an amenable number.

71271144 is an abundant number, since it is smaller than the sum of its proper divisors (154991256).

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

71271144 is a wasteful number, since it uses less digits than its factorization.

71271144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47159 (or 47149 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 71271144 is about 8442.2238776285. The cubic root of 71271144 is about 414.6082217348.

The spelling of 71271144 in words is "seventy-one million, two hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 47137 94274 141411 188548 282822 329959 377096 424233 565644 659918 848466 989877 1131288 1272699 1319836 1696932 1979754 2545398 2639672 2969631 3393864 3959508 5090796 5939262 7919016 8908893 10181592 11878524 17817786 23757048 35635572 71271144