Search a number
-
+
204140160 = 2732576183
BaseRepresentation
bin11000010101011…
…10111010000000
3112020010101122200
430022232322000
5404224441120
632131233200
75026106550
oct1412567200
9466111580
10204140160
11a5260584
1258448800
13333a68c3
141d17d160
1512dc5e90
hexc2aee80

204140160 has 384 divisors, whose sum is σ = 828696960. Its totient is φ = 45342720.

The previous prime is 204140119. The next prime is 204140171. The reversal of 204140160 is 61041402.

204140160 is a `hidden beast` number, since 204 + 1 + 401 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459479 + ... + 2459561.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2204140160 is an apocalyptic number.

204140160 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 204140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

204140160 is an abundant number, since it is smaller than the sum of its proper divisors (624556800).

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

204140160 is a wasteful number, since it uses less digits than its factorization.

204140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 204140160 is about 14287.7625960120. The cubic root of 204140160 is about 588.8113192925.

Adding to 204140160 its reverse (61041402), we get a palindrome (265181562).

The spelling of 204140160 in words is "two hundred four million, one hundred forty thousand, one hundred sixty".