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71313040 = 2451277019
BaseRepresentation
bin1000100000000…
…10011010010000
311222012002002201
410100002122100
5121224004130
611024252544
71524102511
oct420023220
9158162081
1071313040
11372885a7
121ba71154
1311a0b386
149684a08
1563d9bca
hex4402690

71313040 has 40 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 28296576.

The previous prime is 71313017. The next prime is 71313083. The reversal of 71313040 is 4031317.

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

It is a junction number, because it is equal to n+sod(n) for n = 71312999 and 71313017.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6651 + ... + 13669.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 271313040 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 71313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

71313040 is an abundant number, since it is smaller than the sum of its proper divisors (95819120).

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

71313040 is a wasteful number, since it uses less digits than its factorization.

71313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 71313040 is about 8444.7048497860. The cubic root of 71313040 is about 414.6894468633.

Adding to 71313040 its reverse (4031317), we get a palindrome (75344357).

The spelling of 71313040 in words is "seventy-one million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 7019 10160 14038 28076 35095 56152 70190 112304 140380 280760 561520 891413 1782826 3565652 4457065 7131304 8914130 14262608 17828260 35656520 71313040