Search a number
-
+
206656104 = 233233171181
BaseRepresentation
bin11000101000101…
…01001001101000
3112101212012212210
430110111021220
5410400443404
632301205120
75056355634
oct1424251150
9471765783
10206656104
11a6719876
12592607a0
1333a77b25
141d635dc4
1513221689
hexc515268

206656104 has 64 divisors (see below), whose sum is σ = 541261440. Its totient is φ = 65626880.

The previous prime is 206656057. The next prime is 206656159. The reversal of 206656104 is 401656602.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 174394 + ... + 175574.

It is an arithmetic number, because the mean of its divisors is an integer number (8457210).

Almost surely, 2206656104 is an apocalyptic number.

206656104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206656104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270630720).

206656104 is an abundant number, since it is smaller than the sum of its proper divisors (334605336).

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

206656104 is a wasteful number, since it uses less digits than its factorization.

206656104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 206656104 is about 14375.5383899178. The cubic root of 206656104 is about 591.2204021615.

The spelling of 206656104 in words is "two hundred six million, six hundred fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 317 552 634 951 1181 1268 1902 2362 2536 3543 3804 4724 7086 7291 7608 9448 14172 14582 21873 27163 28344 29164 43746 54326 58328 81489 87492 108652 162978 174984 217304 325956 374377 651912 748754 1123131 1497508 2246262 2995016 4492524 8610671 8985048 17221342 25832013 34442684 51664026 68885368 103328052 206656104