Search a number
-
+
71600056 = 231121719229
BaseRepresentation
bin1000100010010…
…00011110111000
311222201122210221
410101020132320
5121312200211
611034345424
71526406343
oct421103670
9158648727
1071600056
1137464200
121bb8b274
1311aabbc8
14971b45a
156444c71
hex44487b8

71600056 has 96 divisors (see below), whose sum is σ = 165186000. Its totient is φ = 28892160.

The previous prime is 71600047. The next prime is 71600071. The reversal of 71600056 is 65000617.

It is a self number, because there is not a number n which added to its sum of digits gives 71600056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312550 + ... + 312778.

Almost surely, 271600056 is an apocalyptic number.

71600056 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 71600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82593000).

71600056 is an abundant number, since it is smaller than the sum of its proper divisors (93585944).

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

71600056 is a wasteful number, since it uses less digits than its factorization.

71600056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 71600056 is about 8461.6816295580. The cubic root of 71600056 is about 415.2450403630.

The spelling of 71600056 in words is "seventy-one million, six hundred thousand, fifty-six".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 121 136 152 187 209 229 242 323 374 418 458 484 646 748 836 916 968 1292 1496 1672 1832 2057 2299 2519 2584 3553 3893 4114 4351 4598 5038 7106 7786 8228 8702 9196 10076 14212 15572 16456 17404 18392 20152 27709 28424 31144 34808 39083 42823 47861 55418 73967 78166 85646 95722 110836 147934 156332 171292 191444 221672 295868 312664 342584 382888 471053 526471 591736 813637 942106 1052942 1627274 1884212 2105884 3254548 3768424 4211768 6509096 8950007 17900014 35800028 71600056