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68460 = 22357163
BaseRepresentation
bin10000101101101100
310110220120
4100231230
54142320
61244540
7403410
oct205554
9113816
1068460
1147487
1233750
1325212
141ad40
1515440
hex10b6c

68460 has 48 divisors (see below), whose sum is σ = 220416. Its totient is φ = 15552.

The previous prime is 68449. The next prime is 68473. The reversal of 68460 is 6486.

It is a self number, because there is not a number n which added to its sum of digits gives 68460.

It is an unprimeable number.

68460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (4592).

268460 is an apocalyptic number.

68460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110208).

68460 is an abundant number, since it is smaller than the sum of its proper divisors (151956).

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

68460 is a wasteful number, since it uses less digits than its factorization.

68460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 68460 is about 261.6486193352. The cubic root of 68460 is about 40.9083815814.

It can be divided in two parts, 68 and 460, that added together give a triangular number (528 = T32).

The spelling of 68460 in words is "sixty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 326 420 489 652 815 978 1141 1630 1956 2282 2445 3260 3423 4564 4890 5705 6846 9780 11410 13692 17115 22820 34230 68460