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68360 = 2351709
BaseRepresentation
bin10000101100001000
310110202212
4100230020
54141420
61244252
7403205
oct205410
9113685
1068360
11473a6
1233688
1325166
141acac
15153c5
hex10b08

68360 has 16 divisors (see below), whose sum is σ = 153900. Its totient is φ = 27328.

The previous prime is 68351. The next prime is 68371. The reversal of 68360 is 6386.

It can be written as a sum of positive squares in 2 ways, for example, as 64516 + 3844 = 254^2 + 62^2 .

It is a plaindrome in base 12.

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, 815 + ... + 894.

268360 is an apocalyptic number.

It is an amenable number.

68360 is an abundant number, since it is smaller than the sum of its proper divisors (85540).

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 (76950).

68360 is a wasteful number, since it uses less digits than its factorization.

68360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 68360 is about 261.4574535178. The cubic root of 68360 is about 40.8884534890. Note that the first 3 decimals are identical.

The spelling of 68360 in words is "sixty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1709 3418 6836 8545 13672 17090 34180 68360