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71126020 = 2257836121
BaseRepresentation
bin1000011110101…
…00110000000100
311221211120120001
410033110300010
5121202013040
611020251044
71522363330
oct417246004
9157746501
1071126020
1137170039
121b9a0a84
1311974204
1496367c0
15639e59a
hex43d4c04

71126020 has 48 divisors (see below), whose sum is σ = 172787328. Its totient is φ = 24088320.

The previous prime is 71125981. The next prime is 71126023. The reversal of 71126020 is 2062117.

It is not an unprimeable number, because it can be changed into a prime (71126023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8560 + ... + 14680.

It is an arithmetic number, because the mean of its divisors is an integer number (3599736).

Almost surely, 271126020 is an apocalyptic number.

71126020 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71126020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86393664).

71126020 is an abundant number, since it is smaller than the sum of its proper divisors (101661308).

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

71126020 is a wasteful number, since it uses less digits than its factorization.

71126020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 71126020 is about 8433.6243691547. The cubic root of 71126020 is about 414.3266188024.

Adding to 71126020 its reverse (2062117), we get a palindrome (73188137).

The spelling of 71126020 in words is "seventy-one million, one hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 6121 11620 12242 24484 30605 42847 61210 85694 122420 171388 214235 428470 508043 856940 1016086 2032172 2540215 3556301 5080430 7112602 10160860 14225204 17781505 35563010 71126020