Search a number
-
+
206481330 = 232511415087
BaseRepresentation
bin11000100111010…
…10011110110010
3112101112100010200
430103222132302
5410324400310
632253340030
75055030246
oct1423523662
9471470120
10206481330
11a660a530
1259197616
1333a16403
141d5cc426
15131d99c0
hexc4ea7b2

206481330 has 96 divisors (see below), whose sum is σ = 600058368. Its totient is φ = 48825600.

The previous prime is 206481323. The next prime is 206481347. The reversal of 206481330 is 33184602.

It is a happy number.

206481330 is a `hidden beast` number, since 2 + 0 + 648 + 13 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 206481294 and 206481303.

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, 38047 + ... + 43133.

It is an arithmetic number, because the mean of its divisors is an integer number (6250608).

Almost surely, 2206481330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206481330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300029184).

206481330 is an abundant number, since it is smaller than the sum of its proper divisors (393577038).

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

206481330 is a wasteful number, since it uses less digits than its factorization.

206481330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206481330 is about 14369.4582361340. The cubic root of 206481330 is about 591.0536854184.

The spelling of 206481330 in words is "two hundred six million, four hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 330 369 410 451 495 615 738 902 990 1230 1353 1845 2255 2706 3690 4059 4510 5087 6765 8118 10174 13530 15261 20295 25435 30522 40590 45783 50870 55957 76305 91566 111914 152610 167871 208567 228915 279785 335742 417134 457830 503613 559570 625701 839355 1007226 1042835 1251402 1678710 1877103 2085670 2294237 2518065 3128505 3754206 4588474 5036130 6257010 6882711 9385515 11471185 13765422 18771030 20648133 22942370 34413555 41296266 68827110 103240665 206481330