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68670 = 23257109
BaseRepresentation
bin10000110000111110
310111012100
4100300332
54144140
61245530
7404130
oct206076
9114170
1068670
1147658
12338a6
1325344
141b050
1515530
hex10c3e

68670 has 48 divisors (see below), whose sum is σ = 205920. Its totient is φ = 15552.

The previous prime is 68669. The next prime is 68683. The reversal of 68670 is 7686.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

268670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

68670 is an abundant number, since it is smaller than the sum of its proper divisors (137250).

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

68670 is a wasteful number, since it uses less digits than its factorization.

68670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68670 is about 262.0496136231. The cubic root of 68670 is about 40.9501674956.

The spelling of 68670 in words is "sixty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 109 126 210 218 315 327 545 630 654 763 981 1090 1526 1635 1962 2289 3270 3815 4578 4905 6867 7630 9810 11445 13734 22890 34335 68670