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204960 = 2535761
BaseRepresentation
bin110010000010100000
3101102011010
4302002200
523024320
64220520
71512360
oct620240
9342133
10204960
1112aa98
129a740
13723a2
14549a0
1540ae0
hex320a0

204960 has 96 divisors (see below), whose sum is σ = 749952. Its totient is φ = 46080.

The previous prime is 204947. The next prime is 204973. The reversal of 204960 is 69402.

It is an interprime number because it is at equal distance from previous prime (204947) and next prime (204973).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3330 + ... + 3390.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2204960 is an apocalyptic number.

204960 is a gapful number since it is divisible by the number (20) 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 204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

204960 is an abundant number, since it is smaller than the sum of its proper divisors (544992).

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

204960 is a wasteful number, since it uses less digits than its factorization.

204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 204960 is about 452.7250821415. The cubic root of 204960 is about 58.9598501138.

The spelling of 204960 in words is "two hundred four thousand, nine hundred sixty".