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208668006 = 232233171229
BaseRepresentation
bin11000111000000…
…00010101100110
3112112122102200200
430130000111212
5411404334011
632412251330
75112435351
oct1434002546
9475572620
10208668006
11a78733a8
1259a70b46
13343007c1
141d9db298
15134bc856
hexc700566

208668006 has 96 divisors (see below), whose sum is σ = 496005120. Its totient is φ = 63201600.

The previous prime is 208668001. The next prime is 208668067. The reversal of 208668006 is 600866802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208668001) 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, 911100 + ... + 911328.

It is an arithmetic number, because the mean of its divisors is an integer number (5166720).

Almost surely, 2208668006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208668006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248002560).

208668006 is an abundant number, since it is smaller than the sum of its proper divisors (287337114).

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

208668006 is a wasteful number, since it uses less digits than its factorization.

208668006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 208668006 is about 14445.3454787347. The cubic root of 208668006 is about 593.1328195770.

The spelling of 208668006 in words is "two hundred eight million, six hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 71 93 138 142 186 207 213 229 279 414 426 458 558 639 687 713 1278 1374 1426 1633 2061 2139 2201 3266 4122 4278 4402 4899 5267 6417 6603 7099 9798 10534 12834 13206 14198 14697 15801 16259 19809 21297 29394 31602 32518 39618 42594 47403 48777 50623 63891 94806 97554 101246 127782 146331 151869 163277 292662 303738 326554 373957 455607 489831 504029 747914 911214 979662 1008058 1121871 1469493 1512087 2243742 2938986 3024174 3365613 4536261 6731226 9072522 11592667 23185334 34778001 69556002 104334003 208668006