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71326080 = 2732572961
BaseRepresentation
bin1000100000001…
…01100110000000
311222012201222200
410100011212000
5121224413310
611024433200
71524155520
oct420054600
9158181880
1071326080
1137297381
121ba78800
1311a142a7
149689680
1563dd9c0
hex4405980

71326080 has 384 divisors, whose sum is σ = 295963200. Its totient is φ = 15482880.

The previous prime is 71326027. The next prime is 71326081. The reversal of 71326080 is 8062317.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71326081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1169250 + ... + 1169310.

Almost surely, 271326080 is an apocalyptic number.

71326080 is a gapful number since it is divisible by the number (70) 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 71326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981600).

71326080 is an abundant number, since it is smaller than the sum of its proper divisors (224637120).

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

71326080 is a wasteful number, since it uses less digits than its factorization.

71326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71326080 is about 8445.4768959485. The cubic root of 71326080 is about 414.7147214406.

Adding to 71326080 its reverse (8062317), we get a palindrome (79388397).

The spelling of 71326080 in words is "seventy-one million, three hundred twenty-six thousand, eighty".