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65660 = 2257267
BaseRepresentation
bin10000000001111100
310100001212
4100001330
54100120
61223552
7362300
oct200174
9110055
1065660
1145371
1231bb8
1323b6a
1419d00
15146c5
hex1007c

65660 has 36 divisors (see below), whose sum is σ = 162792. Its totient is φ = 22176.

The previous prime is 65657. The next prime is 65677. The reversal of 65660 is 6656.

It is a happy number.

It is a super-2 number, since 2×656602 = 8622471200, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (4522).

265660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396).

65660 is an abundant number, since it is smaller than the sum of its proper divisors (97132).

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

65660 is a wasteful number, since it uses less digits than its factorization.

65660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 65660 is about 256.2420730481. The cubic root of 65660 is about 40.3428856702.

The spelling of 65660 in words is "sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 67 70 98 134 140 196 245 268 335 469 490 670 938 980 1340 1876 2345 3283 4690 6566 9380 13132 16415 32830 65660