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71000424 = 233211157571
BaseRepresentation
bin1000011101101…
…10000101101000
311221121012021100
410032312011220
5121134003144
611013441400
71521331215
oct416660550
9157535240
1071000424
1137094740
121b940260
131192bcb1
149602b0c
156377269
hex43b6168

71000424 has 96 divisors (see below), whose sum is σ = 211479840. Its totient is φ = 21340800.

The previous prime is 71000407. The next prime is 71000429. The reversal of 71000424 is 42400017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 71000397 and 71000406.

It is not an unprimeable number, because it can be changed into a prime (71000429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124059 + ... + 124629.

It is an arithmetic number, because the mean of its divisors is an integer number (2202915).

Almost surely, 271000424 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 71000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105739920).

71000424 is an abundant number, since it is smaller than the sum of its proper divisors (140479416).

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

71000424 is a wasteful number, since it uses less digits than its factorization.

71000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 71000424 is about 8426.1749329099. The cubic root of 71000424 is about 414.0825992161.

The spelling of 71000424 in words is "seventy-one million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 571 628 792 942 1142 1256 1413 1713 1727 1884 2284 2826 3426 3454 3768 4568 5139 5181 5652 6281 6852 6908 10278 10362 11304 12562 13704 13816 15543 18843 20556 20724 25124 31086 37686 41112 41448 50248 56529 62172 75372 89647 113058 124344 150744 179294 226116 268941 358588 452232 537882 717176 806823 986117 1075764 1613646 1972234 2151528 2958351 3227292 3944468 5916702 6454584 7888936 8875053 11833404 17750106 23666808 35500212 71000424