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71320128 = 2631133769
BaseRepresentation
bin1000100000001…
…00001001000000
311222012102211020
410100010021000
5121224221003
611024345440
71524132255
oct420041100
9158172736
1071320128
1137292960
121ba75280
1311a11679
14968742c
1563dbd53
hex4404240

71320128 has 56 divisors (see below), whose sum is σ = 205861920. Its totient is φ = 21611520.

The previous prime is 71320111. The next prime is 71320141. The reversal of 71320128 is 82102317.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 71320098 and 71320107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14773 + ... + 18996.

Almost surely, 271320128 is an apocalyptic number.

It is an amenable number.

71320128 is an abundant number, since it is smaller than the sum of its proper divisors (134541792).

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

71320128 is a wasteful number, since it uses less digits than its factorization.

71320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33795 (or 33785 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71320128 is about 8445.1245106274. The cubic root of 71320128 is about 414.7031854513.

The spelling of 71320128 in words is "seventy-one million, three hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 33769 67538 101307 135076 202614 270152 371459 405228 540304 742918 810456 1080608 1114377 1485836 1620912 2161216 2228754 2971672 3241824 4457508 5943344 6483648 8915016 11886688 17830032 23773376 35660064 71320128