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204768 = 253479
BaseRepresentation
bin110001111111100000
3101101220000
4301333200
523023033
64220000
71511664
oct617740
9341800
10204768
1112a933
129a600
1372285
14548a4
1540a13
hex31fe0

204768 has 60 divisors (see below), whose sum is σ = 609840. Its totient is φ = 67392.

The previous prime is 204751. The next prime is 204781. The reversal of 204768 is 867402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2553 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (10164).

2204768 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 204768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920).

204768 is an abundant number, since it is smaller than the sum of its proper divisors (405072).

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

204768 is an equidigital number, since it uses as much as digits as its factorization.

204768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 204768 is about 452.5129832392. The cubic root of 204768 is about 58.9414337921.

The spelling of 204768 in words is "two hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 288 316 324 432 474 632 648 711 864 948 1264 1296 1422 1896 2133 2528 2592 2844 3792 4266 5688 6399 7584 8532 11376 12798 17064 22752 25596 34128 51192 68256 102384 204768