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65696 = 252053
BaseRepresentation
bin10000000010100000
310100010012
4100002200
54100241
61224052
7362351
oct200240
9110105
1065696
11453a4
1232028
1323b97
1419d28
15146eb
hex100a0

65696 has 12 divisors (see below), whose sum is σ = 129402. Its totient is φ = 32832.

The previous prime is 65687. The next prime is 65699. The reversal of 65696 is 69656.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 10000 = 236^2 + 100^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2053 = 65696 / (6 + 5 + 6 + 9 + 6).

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65696.

It is not an unprimeable number, because it can be changed into a prime (65699) by changing a digit.

65696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 995 + ... + 1058.

265696 is an apocalyptic number.

It is an amenable number.

65696 is a deficient number, since it is larger than the sum of its proper divisors (63706).

65696 is a wasteful number, since it uses less digits than its factorization.

65696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 65696 is about 256.3123094976. The cubic root of 65696 is about 40.3502573756.

The spelling of 65696 in words is "sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 2053 4106 8212 16424 32848 65696