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206080602 = 23713371012
BaseRepresentation
bin11000100100010…
…00101001011010
3112100202222102220
430102020221122
5410224034402
632241004510
75051441040
oct1422105132
9470688386
10206080602
11a6366452
1259023736
1333905bb0
141d526390
151315adbc
hexc488a5a

206080602 has 96 divisors (see below), whose sum is σ = 526194816. Its totient is φ = 52358400.

The previous prime is 206080601. The next prime is 206080663.

206080602 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (206080601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2040352 + ... + 2040452.

It is an arithmetic number, because the mean of its divisors is an integer number (5481196).

Almost surely, 2206080602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206080602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263097408).

206080602 is an abundant number, since it is smaller than the sum of its proper divisors (320114214).

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

206080602 is a wasteful number, since it uses less digits than its factorization.

206080602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 206080602 is about 14355.5077235185. The cubic root of 206080602 is about 590.6710759273.

The spelling of 206080602 in words is "two hundred six million, eighty thousand, six hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 101 111 182 202 222 259 273 303 481 518 546 606 707 777 962 1313 1414 1443 1554 2121 2626 2886 3367 3737 3939 4242 6734 7474 7878 9191 10101 10201 11211 18382 20202 20402 22422 26159 27573 30603 48581 52318 55146 61206 71407 78477 97162 132613 142814 145743 156954 214221 265226 291486 340067 377437 397839 428442 680134 754874 795678 928291 1020201 1132311 1856582 2040402 2264622 2642059 2784873 4906681 5284118 5569746 7926177 9813362 14720043 15852354 29440086 34346767 68693534 103040301 206080602