Search a number
-
+
206106054 = 237211101631
BaseRepresentation
bin11000100100011…
…10110111000110
3112100211021100120
430102032313012
5410230343204
632241322410
75051605200
oct1422166706
9470737316
10206106054
11a6383590
1259036406
133391465b
141d531770
15131636d9
hexc48edc6

206106054 has 96 divisors (see below), whose sum is σ = 529120512. Its totient is φ = 52920000.

The previous prime is 206106041. The next prime is 206106077. The reversal of 206106054 is 450601602.

206106054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326319 + ... + 326949.

It is an arithmetic number, because the mean of its divisors is an integer number (5511672).

Almost surely, 2206106054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206106054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264560256).

206106054 is an abundant number, since it is smaller than the sum of its proper divisors (323014458).

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

206106054 is a wasteful number, since it uses less digits than its factorization.

206106054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 206106054 is about 14356.3941851706. The cubic root of 206106054 is about 590.6953918846.

Adding to 206106054 its reverse (450601602), we get a palindrome (656707656).

The spelling of 206106054 in words is "two hundred six million, one hundred six thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 294 303 462 539 606 631 707 1078 1111 1262 1414 1617 1893 2121 2222 3234 3333 3786 4242 4417 4949 6666 6941 7777 8834 9898 13251 13882 14847 15554 20823 23331 26502 29694 30919 41646 46662 48587 54439 61838 63731 92757 97174 108878 127462 145761 163317 185514 191193 291522 326634 340109 382386 446117 680218 701041 892234 1020327 1338351 1402082 2040654 2103123 2676702 3122819 4206246 4907287 6245638 9368457 9814574 14721861 18736914 29443722 34351009 68702018 103053027 206106054