Search a number
-
+
204457140 = 223251135873
BaseRepresentation
bin11000010111111…
…00010010110100
3112020201111110200
430023330102310
5404320112030
632142120500
75031566646
oct1413742264
9466644420
10204457140
11a5457748
1258580130
1333487c74
141d222896
1512e39d60
hexc2fc4b4

204457140 has 36 divisors (see below), whose sum is σ = 620187204. Its totient is φ = 54521856.

The previous prime is 204457117. The next prime is 204457207. The reversal of 204457140 is 41754402.

204457140 is a `hidden beast` number, since 204 + 457 + 1 + 4 + 0 = 666.

204457140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71470116 + 132987024 = 8454^2 + 11532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 567757 + ... + 568116.

Almost surely, 2204457140 is an apocalyptic number.

204457140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204457140 is an abundant number, since it is smaller than the sum of its proper divisors (415730064).

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

204457140 is a wasteful number, since it uses less digits than its factorization.

204457140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135888 (or 1135883 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 204457140 is about 14298.8510027904. The cubic root of 204457140 is about 589.1159219281.

The spelling of 204457140 in words is "two hundred four million, four hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1135873 2271746 3407619 4543492 5679365 6815238 10222857 11358730 13630476 17038095 20445714 22717460 34076190 40891428 51114285 68152380 102228570 204457140