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68240 = 245853
BaseRepresentation
bin10000101010010000
310110121102
4100222100
54140430
61243532
7402644
oct205220
9113542
1068240
11472a7
12335a8
13250a3
141ac24
1515345
hex10a90

68240 has 20 divisors (see below), whose sum is σ = 158844. Its totient is φ = 27264.

The previous prime is 68239. The next prime is 68261. The reversal of 68240 is 4286.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 55696 = 112^2 + 236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 3 ways as a sum of consecutive naturals, for example, 347 + ... + 506.

268240 is an apocalyptic number.

It is an amenable number.

68240 is an abundant number, since it is smaller than the sum of its proper divisors (90604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79422).

68240 is a wasteful number, since it uses less digits than its factorization.

68240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 68240 is about 261.2278698761. The cubic root of 68240 is about 40.8645141080.

The spelling of 68240 in words is "sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 853 1706 3412 4265 6824 8530 13648 17060 34120 68240