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205041460 = 22513788621
BaseRepresentation
bin11000011100010…
…10111100110100
3112021211012000011
430032022330310
5404442311320
632202430004
75036552341
oct1416127464
9467735004
10205041460
11a5816758
1258802304
1333630c10
141d3357c8
151300305a
hexc38af34

205041460 has 24 divisors (see below), whose sum is σ = 463709736. Its totient is φ = 75707520.

The previous prime is 205041439. The next prime is 205041467. The reversal of 205041460 is 64140502.

205041460 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 4 ways, for example, as 2377764 + 202663696 = 1542^2 + 14236^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205041467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394051 + ... + 394570.

It is an arithmetic number, because the mean of its divisors is an integer number (19321239).

Almost surely, 2205041460 is an apocalyptic number.

205041460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205041460 is an abundant number, since it is smaller than the sum of its proper divisors (258668276).

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

205041460 is a wasteful number, since it uses less digits than its factorization.

205041460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788643 (or 788641 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 205041460 is about 14319.2688360824. The cubic root of 205041460 is about 589.6766014704.

Adding to 205041460 its reverse (64140502), we get a palindrome (269181962).

The spelling of 205041460 in words is "two hundred five million, forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 788621 1577242 3154484 3943105 7886210 10252073 15772420 20504146 41008292 51260365 102520730 205041460