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205706413 = 1121700053
BaseRepresentation
bin11000100001011…
…01010010101101
3112100001222011001
430100231102231
5410130101123
632225000301
75045322103
oct1420552255
9470058131
10205706413
11a6130300
1258a83091
1333804793
141d469c73
15130d50ad
hexc42d4ad

205706413 has 6 divisors (see below), whose sum is σ = 226107182. Its totient is φ = 187005720.

The previous prime is 205706401. The next prime is 205706429. The reversal of 205706413 is 314607502.

It can be written as a sum of positive squares in only one way, i.e., 196084009 + 9622404 = 14003^2 + 3102^2 .

It is not a de Polignac number, because 205706413 - 29 = 205705901 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 (205706713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 849906 + ... + 850147.

Almost surely, 2205706413 is an apocalyptic number.

It is an amenable number.

205706413 is a deficient number, since it is larger than the sum of its proper divisors (20400769).

205706413 is a wasteful number, since it uses less digits than its factorization.

205706413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700075 (or 1700064 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 205706413 is about 14342.4688599976. The cubic root of 205706413 is about 590.3133574335.

The spelling of 205706413 in words is "two hundred five million, seven hundred six thousand, four hundred thirteen".

Divisors: 1 11 121 1700053 18700583 205706413