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71613040 = 2451018863
BaseRepresentation
bin1000100010010…
…11101001110000
311222202022121211
410101023221300
5121313104130
611034525504
71526462242
oct421135160
9158668554
1071613040
1137472a34
121bb96894
1311ab4aa5
149722092
156448a2a
hex444ba70

71613040 has 40 divisors (see below), whose sum is σ = 168167808. Its totient is φ = 28358400.

The previous prime is 71613023. The next prime is 71613041. The reversal of 71613040 is 4031617.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71613041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3649 + ... + 12511.

Almost surely, 271613040 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 71613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84083904).

71613040 is an abundant number, since it is smaller than the sum of its proper divisors (96554768).

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

71613040 is a wasteful number, since it uses less digits than its factorization.

71613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977 (or 8971 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 71613040 is about 8462.4488181613. The cubic root of 71613040 is about 415.2701391131.

Adding to 71613040 its reverse (4031617), we get a palindrome (75644657).

It can be divided in two parts, 7161 and 3040, that added together give a palindrome (10201).

The spelling of 71613040 in words is "seventy-one million, six hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 8863 17726 35452 44315 70904 88630 141808 177260 354520 709040 895163 1790326 3580652 4475815 7161304 8951630 14322608 17903260 35806520 71613040