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71296 = 27557
BaseRepresentation
bin10001011010000000
310121210121
4101122000
54240141
61310024
7414601
oct213200
9117717
1071296
1149625
1235314
13265b4
141bda8
15161d1
hex11680

71296 has 16 divisors (see below), whose sum is σ = 142290. Its totient is φ = 35584.

The previous prime is 71293. The next prime is 71317. The reversal of 71296 is 69217.

71296 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 1600 = 264^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a self number, because there is not a number n which added to its sum of digits gives 71296.

It is not an unprimeable number, because it can be changed into a prime (71293) by changing a digit.

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 as a sum of consecutive naturals, namely, 151 + ... + 406.

271296 is an apocalyptic number.

It is an amenable number.

71296 is a deficient number, since it is larger than the sum of its proper divisors (70994).

71296 is an equidigital number, since it uses as much as digits as its factorization.

71296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 71296 is about 267.0131082925. The cubic root of 71296 is about 41.4656414704.

It can be divided in two parts, 712 and 96, that added together give a palindrome (808).

The spelling of 71296 in words is "seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 557 1114 2228 4456 8912 17824 35648 71296