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68896 = 252153
BaseRepresentation
bin10000110100100000
310111111201
4100310200
54201041
61250544
7404602
oct206440
9114451
1068896
1147843
1233a54
1325489
141b172
1515631
hex10d20

68896 has 12 divisors (see below), whose sum is σ = 135702. Its totient is φ = 34432.

The previous prime is 68891. The next prime is 68897. The reversal of 68896 is 69886.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 1296 = 260^2 + 36^2 .

It is not an unprimeable number, because it can be changed into a prime (68891) 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, 1045 + ... + 1108.

268896 is an apocalyptic number.

It is an amenable number.

68896 is a deficient number, since it is larger than the sum of its proper divisors (66806).

68896 is a wasteful number, since it uses less digits than its factorization.

68896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 68896 is about 262.4804754644. The cubic root of 68896 is about 40.9950420338.

Subtracting 68896 from its reverse (69886), we obtain a triangular number (990 = T44).

It can be divided in two parts, 688 and 96, that added together give a square (784 = 282).

The spelling of 68896 in words is "sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 2153 4306 8612 17224 34448 68896