Search a number
-
+
206106720 = 2535429389
BaseRepresentation
bin11000100100011…
…11000001100000
3112100211022021020
430102033001200
5410230403340
632241325440
75051610141
oct1422170140
9470738236
10206106720
11a6384036
1259036880
1333914a51
141d531ac8
15131639d0
hexc48f060

206106720 has 48 divisors (see below), whose sum is σ = 649237680. Its totient is φ = 54961664.

The previous prime is 206106707. The next prime is 206106757. The reversal of 206106720 is 27601602.

It is a happy number.

206106720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214215 + ... + 215174.

It is an arithmetic number, because the mean of its divisors is an integer number (13525785).

Almost surely, 2206106720 is an apocalyptic number.

206106720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206106720 is an abundant number, since it is smaller than the sum of its proper divisors (443130960).

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

206106720 is a wasteful number, since it uses less digits than its factorization.

206106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429407 (or 429399 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 206106720 is about 14356.4173803913. The cubic root of 206106720 is about 590.6960281310.

The spelling of 206106720 in words is "two hundred six million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 429389 858778 1288167 1717556 2146945 2576334 3435112 4293890 5152668 6440835 6870224 8587780 10305336 12881670 13740448 17175560 20610672 25763340 34351120 41221344 51526680 68702240 103053360 206106720