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68280 = 2335569
BaseRepresentation
bin10000101010111000
310110122220
4100222320
54141110
61244040
7403032
oct205270
9113586
1068280
1147333
1233620
1325104
141ac52
1515370
hex10ab8

68280 has 32 divisors (see below), whose sum is σ = 205200. Its totient is φ = 18176.

The previous prime is 68279. The next prime is 68281. The reversal of 68280 is 8286.

It is an interprime number because it is at equal distance from previous prime (68279) and next prime (68281).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 68280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 404.

268280 is an apocalyptic number.

68280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68280 is an abundant number, since it is smaller than the sum of its proper divisors (136920).

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 (102600).

68280 is a wasteful number, since it uses less digits than its factorization.

68280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68280 is about 261.3044201693. The cubic root of 68280 is about 40.8724970178.

The spelling of 68280 in words is "sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 569 1138 1707 2276 2845 3414 4552 5690 6828 8535 11380 13656 17070 22760 34140 68280