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71447040 = 293257443
BaseRepresentation
bin1000100001000…
…11001000000000
311222102212220200
410100203020000
5121242301130
611031205200
71525201260
oct420431000
9158385820
1071447040
113736a245
121bb16800
1311a57372
1496bb7a0
156414760
hex4423200

71447040 has 240 divisors, whose sum is σ = 283428288. Its totient is φ = 16293888.

The previous prime is 71447027. The next prime is 71447041. The reversal of 71447040 is 4074417.

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

It is a junction number, because it is equal to n+sod(n) for n = 71446995 and 71447013.

It is not an unprimeable number, because it can be changed into a prime (71447041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161059 + ... + 161501.

Almost surely, 271447040 is an apocalyptic number.

71447040 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 71447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141714144).

71447040 is an abundant number, since it is smaller than the sum of its proper divisors (211981248).

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

71447040 is a wasteful number, since it uses less digits than its factorization.

71447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 71447040 is about 8452.6350920881. The cubic root of 71447040 is about 414.9490235929.

The spelling of 71447040 in words is "seventy-one million, four hundred forty-seven thousand, forty".