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71129996 = 22719231227
BaseRepresentation
bin1000011110101…
…01101110001100
311221211210000022
410033111232030
5121202124441
611020321312
71522411040
oct417255614
9157753008
1071129996
1137173023
121b9a3238
1311975c72
149638020
1563a084b
hex43d5b8c

71129996 has 72 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 27825120.

The previous prime is 71129917. The next prime is 71130013. The reversal of 71129996 is 69992117.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313235 + ... + 313461.

It is an arithmetic number, because the mean of its divisors is an integer number (2162048).

Almost surely, 271129996 is an apocalyptic number.

71129996 is a gapful number since it is divisible by the number (76) 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 71129996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

71129996 is an abundant number, since it is smaller than the sum of its proper divisors (84537460).

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

71129996 is a wasteful number, since it uses less digits than its factorization.

71129996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its digits is 61236, while the sum is 44.

The square root of 71129996 is about 8433.8600889510. The cubic root of 71129996 is about 414.3343390523.

The spelling of 71129996 in words is "seventy-one million, one hundred twenty-nine thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 227 266 361 434 454 532 589 722 868 908 1178 1444 1589 2356 2527 3178 4123 4313 5054 6356 7037 8246 8626 10108 11191 14074 16492 17252 22382 28148 30191 44764 49259 60382 78337 81947 98518 120764 133703 156674 163894 197036 267406 313348 327788 534812 573629 935921 1147258 1871842 2294516 2540357 3743684 5080714 10161428 17782499 35564998 71129996