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71311440 = 2435614871
BaseRepresentation
bin1000100000000…
…10000001010000
311222011222220110
410100002001100
5121223431230
611024241320
71524065034
oct420020120
9158158813
1071311440
1137287382
121ba70240
1311a0a725
1496841c4
1563d94b0
hex4402050

71311440 has 80 divisors (see below), whose sum is σ = 224735616. Its totient is φ = 18700800.

The previous prime is 71311421. The next prime is 71311453. The reversal of 71311440 is 4411317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12205 + ... + 17075.

Almost surely, 271311440 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 71311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112367808).

71311440 is an abundant number, since it is smaller than the sum of its proper divisors (153424176).

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

71311440 is a wasteful number, since it uses less digits than its factorization.

71311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71311440 is about 8444.6101153339. The cubic root of 71311440 is about 414.6863454760.

Adding to 71311440 its reverse (4411317), we get a palindrome (75722757).

The spelling of 71311440 in words is "seventy-one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4871 4880 7320 9742 14613 14640 19484 24355 29226 38968 48710 58452 73065 77936 97420 116904 146130 194840 233808 292260 297131 389680 584520 594262 891393 1169040 1188524 1485655 1782786 2377048 2971310 3565572 4456965 4754096 5942620 7131144 8913930 11885240 14262288 17827860 23770480 35655720 71311440