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104856 = 23317257
BaseRepresentation
bin11001100110011000
312022211120
4121212120
511323411
62125240
7614463
oct314630
9168746
10104856
1171864
1250820
133895b
142a2da
1521106
hex19998

104856 has 32 divisors (see below), whose sum is σ = 278640. Its totient is φ = 32768.

The previous prime is 104851. The next prime is 104869. The reversal of 104856 is 658401.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104851) by changing a digit.

In principle, a polygon with 104856 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 536.

2104856 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 104856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139320).

104856 is an abundant number, since it is smaller than the sum of its proper divisors (173784).

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

104856 is a wasteful number, since it uses less digits than its factorization.

104856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 104856 is about 323.8147618624. The cubic root of 104856 is about 47.1553633356.

The spelling of 104856 in words is "one hundred four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 257 408 514 771 1028 1542 2056 3084 4369 6168 8738 13107 17476 26214 34952 52428 104856