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71422560 = 2535511167
BaseRepresentation
bin1000100000111…
…01001001100000
311222101122100000
410100131021200
5121241010220
611030500000
71525040016
oct420351140
9158348300
1071422560
1137352910
121bb04600
1311a49191
1496b28b6
15640c390
hex441d260

71422560 has 288 divisors, whose sum is σ = 277385472. Its totient is φ = 17210880.

The previous prime is 71422553. The next prime is 71422583. The reversal of 71422560 is 6522417.

71422560 = T50 + T51 + ... + T753.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 427597 + ... + 427763.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 271422560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

71422560 is an abundant number, since it is smaller than the sum of its proper divisors (205962912).

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

71422560 is a wasteful number, since it uses less digits than its factorization.

71422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 71422560 is about 8451.1868988918. The cubic root of 71422560 is about 414.9016266564.

Adding to 71422560 its reverse (6522417), we get a palindrome (77944977).

The spelling of 71422560 in words is "seventy-one million, four hundred twenty-two thousand, five hundred sixty".