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71250480 = 24325767211
BaseRepresentation
bin1000011111100…
…11001000110000
311222001220021200
410033303020300
5121220003410
611023051200
71523422230
oct417631060
9158056250
1071250480
11372455a4
121ba40b00
13119b8a62
149669cc0
1563c63c0
hex43f3230

71250480 has 240 divisors, whose sum is σ = 278863104. Its totient is φ = 15966720.

The previous prime is 71250479. The next prime is 71250499. The reversal of 71250480 is 8405217.

It is a Cunningham number, because it is equal to 84412-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337575 + ... + 337785.

Almost surely, 271250480 is an apocalyptic number.

71250480 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 71250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139431552).

71250480 is an abundant number, since it is smaller than the sum of its proper divisors (207612624).

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

71250480 is a wasteful number, since it uses less digits than its factorization.

71250480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71250480 is about 8440.9999407653. Note that the first 4 decimals coincide. The cubic root of 71250480 is about 414.5681480484.

Adding to 71250480 its reverse (8405217), we get a palindrome (79655697).

The spelling of 71250480 in words is "seventy-one million, two hundred fifty thousand, four hundred eighty".