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68130 = 2325757
BaseRepresentation
bin10000101000100010
310110110100
4100220202
54140010
61243230
7402426
oct205042
9113410
1068130
1147207
1233516
132501a
141ab86
15152c0
hex10a22

68130 has 24 divisors (see below), whose sum is σ = 177372. Its totient is φ = 18144.

The previous prime is 68113. The next prime is 68141. The reversal of 68130 is 3186.

It can be written as a sum of positive squares in 2 ways, for example, as 68121 + 9 = 261^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 289 + ... + 468.

268130 is an apocalyptic number.

68130 is an abundant number, since it is smaller than the sum of its proper divisors (109242).

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 (88686).

68130 is a wasteful number, since it uses less digits than its factorization.

68130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 68130 is about 261.0172408099. The cubic root of 68130 is about 40.8425450086.

The spelling of 68130 in words is "sixty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 757 1514 2271 3785 4542 6813 7570 11355 13626 22710 34065 68130