Search a number
-
+
206417729 = 7192336661
BaseRepresentation
bin11000100110110…
…10111101000001
3112101102002220002
430103122331001
5410320331404
632252125345
75054343650
oct1423327501
9471362802
10206417729
11a6576771
1259166855
13339c348b
141d5b3197
15131c5c1e
hexc4daf41

206417729 has 16 divisors (see below), whose sum is σ = 249425280. Its totient is φ = 166872960.

The previous prime is 206417699. The next prime is 206417753. The reversal of 206417729 is 927714602.

206417729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 206417729 - 224 = 189640513 is a prime.

It is a super-3 number, since 3×2064177293 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 206417692 and 206417701.

It is not an unprimeable number, because it can be changed into a prime (206417779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27659 + ... + 34319.

It is an arithmetic number, because the mean of its divisors is an integer number (15589080).

Almost surely, 2206417729 is an apocalyptic number.

It is an amenable number.

206417729 is a deficient number, since it is larger than the sum of its proper divisors (43007551).

206417729 is a wasteful number, since it uses less digits than its factorization.

206417729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 206417729 is about 14367.2450038273. The cubic root of 206417729 is about 590.9929931421.

The spelling of 206417729 in words is "two hundred six million, four hundred seventeen thousand, seven hundred twenty-nine".

Divisors: 1 7 19 133 233 1631 4427 6661 30989 46627 126559 885913 1552013 10864091 29488247 206417729