Search a number
-
+
71385216 = 273726557
BaseRepresentation
bin1000100000101…
…00000010000000
311222022202002220
410100110002000
5121233311331
611030011040
71524523110
oct420240200
9158282086
1071385216
1137327851
121baa6a80
1311a35196
1496a3040
156401296
hex4414080

71385216 has 64 divisors (see below), whose sum is σ = 216713280. Its totient is φ = 20395008.

The previous prime is 71385191. The next prime is 71385233. The reversal of 71385216 is 61258317.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10591 + ... + 15966.

It is an arithmetic number, because the mean of its divisors is an integer number (3386145).

Almost surely, 271385216 is an apocalyptic number.

It is an amenable number.

71385216 is an abundant number, since it is smaller than the sum of its proper divisors (145328064).

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

71385216 is a wasteful number, since it uses less digits than its factorization.

71385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26581 (or 26569 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 71385216 is about 8448.9772162079. The cubic root of 71385216 is about 414.8293022277.

The spelling of 71385216 in words is "seventy-one million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 26557 53114 79671 106228 159342 185899 212456 318684 371798 424912 557697 637368 743596 849824 1115394 1274736 1487192 1699648 2230788 2549472 2974384 3399296 4461576 5098944 5948768 8923152 10197888 11897536 17846304 23795072 35692608 71385216