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71353480 = 23511257631
BaseRepresentation
bin1000100000011…
…00010010001000
311222021010120111
410100030102020
5121231302410
611025204104
71524331432
oct420142210
9158233514
1071353480
1137305a20
121ba90634
1311a238c3
149695652
1563e6b8a
hex440c488

71353480 has 64 divisors (see below), whose sum is σ = 176100480. Its totient is φ = 25804800.

The previous prime is 71353439. The next prime is 71353481. The reversal of 71353480 is 8435317.

It is a super-2 number, since 2×713534802 = 10182638216220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71353481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 112765 + ... + 113395.

It is an arithmetic number, because the mean of its divisors is an integer number (2751570).

Almost surely, 271353480 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 71353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88050240).

71353480 is an abundant number, since it is smaller than the sum of its proper divisors (104747000).

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

71353480 is a wasteful number, since it uses less digits than its factorization.

71353480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 71353480 is about 8447.0989102768. The cubic root of 71353480 is about 414.7678190295.

Adding to 71353480 its reverse (8435317), we get a palindrome (79788797).

The spelling of 71353480 in words is "seventy-one million, three hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 257 440 514 631 1028 1262 1285 2056 2524 2570 2827 3155 5048 5140 5654 6310 6941 10280 11308 12620 13882 14135 22616 25240 27764 28270 34705 55528 56540 69410 113080 138820 162167 277640 324334 648668 810835 1297336 1621670 1783837 3243340 3567674 6486680 7135348 8919185 14270696 17838370 35676740 71353480