Search a number
-
+
206670000 = 24354832
BaseRepresentation
bin11000101000110…
…00100010110000
3112101212220221110
430110120202300
5410401420000
632301353320
75056444305
oct1424304260
9471786843
10206670000
11a6729259
1259268840
1333a81254
141d63b0ac
1513225850
hexc5188b0

206670000 has 150 divisors (see below), whose sum is σ = 675293212. Its totient is φ = 54448000.

The previous prime is 206669989. The next prime is 206670007. The reversal of 206670000 is 76602.

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (206670007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2489959 + ... + 2490041.

Almost surely, 2206670000 is an apocalyptic number.

206670000 is a gapful number since it is divisible by the number (20) 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 206670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337646606).

206670000 is an abundant number, since it is smaller than the sum of its proper divisors (468623212).

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

206670000 is an frugal number, since it uses more digits than its factorization.

206670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 206670000 is about 14376.0217028217. The cubic root of 206670000 is about 591.2336535074.

The spelling of 206670000 in words is "two hundred six million, six hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 120 125 150 166 200 240 249 250 300 332 375 400 415 498 500 600 625 664 750 830 996 1000 1200 1245 1250 1328 1500 1660 1875 1992 2000 2075 2490 2500 3000 3320 3750 3984 4150 4980 5000 6000 6225 6640 6889 7500 8300 9960 10000 10375 12450 13778 15000 16600 19920 20667 20750 24900 27556 30000 31125 33200 34445 41334 41500 49800 51875 55112 62250 68890 82668 83000 99600 103335 103750 110224 124500 137780 155625 165336 166000 172225 206670 207500 249000 275560 311250 330672 344450 413340 415000 498000 516675 551120 622500 688900 826680 830000 861125 1033350 1245000 1377800 1653360 1722250 2066700 2490000 2583375 2755600 3444500 4133400 4305625 5166750 6889000 8266800 8611250 10333500 12916875 13778000 17222500 20667000 25833750 34445000 41334000 51667500 68890000 103335000 206670000