Search a number
-
+
204509693 = 371032521
BaseRepresentation
bin11000011000010…
…01000111111101
3112020211011120002
430030021013331
5404323302233
632143204045
75032206113
oct1414110775
9466734502
10204509693
11a5493183
12585a6625
13334a5b6b
141d237ab3
1512e4a6e8
hexc3091fd

204509693 has 12 divisors (see below), whose sum is σ = 212503068. Its totient is φ = 196672320.

The previous prime is 204509687. The next prime is 204509699. The reversal of 204509693 is 396905402.

204509693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204509687) and next prime (204509699).

It can be written as a sum of positive squares in 2 ways, for example, as 126045529 + 78464164 = 11227^2 + 8858^2 .

It is not a de Polignac number, because 204509693 - 214 = 204493309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204509699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392273 + ... + 392793.

It is an arithmetic number, because the mean of its divisors is an integer number (17708589).

Almost surely, 2204509693 is an apocalyptic number.

It is an amenable number.

204509693 is a deficient number, since it is larger than the sum of its proper divisors (7993375).

204509693 is an equidigital number, since it uses as much as digits as its factorization.

204509693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 204509693 is about 14300.6885498566. The cubic root of 204509693 is about 589.1663924193.

The spelling of 204509693 in words is "two hundred four million, five hundred nine thousand, six hundred ninety-three".

Divisors: 1 37 103 521 3811 10609 19277 53663 392533 1985531 5527289 204509693