Search a number
-
+
71168280 = 23351095441
BaseRepresentation
bin1000011110111…
…11000100011000
311221220201112020
410033133010120
5121204341110
611021214440
71522630461
oct417370430
9157821466
1071168280
1137199867
121ba01420
131198a511
149647d68
1563abd70
hex43df118

71168280 has 64 divisors (see below), whose sum is σ = 215503200. Its totient is φ = 18800640.

The previous prime is 71168269. The next prime is 71168303. The reversal of 71168280 is 8286117.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10360 + ... + 15800.

Almost surely, 271168280 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 71168280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107751600).

71168280 is an abundant number, since it is smaller than the sum of its proper divisors (144334920).

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

71168280 is a wasteful number, since it uses less digits than its factorization.

71168280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 71168280 is about 8436.1294442416. The cubic root of 71168280 is about 414.4086608656.

The spelling of 71168280 in words is "seventy-one million, one hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 5441 6540 10882 13080 16323 21764 27205 32646 43528 54410 65292 81615 108820 130584 163230 217640 326460 593069 652920 1186138 1779207 2372276 2965345 3558414 4744552 5930690 7116828 8896035 11861380 14233656 17792070 23722760 35584140 71168280