Search a number
-
+
206887408 = 24721353383
BaseRepresentation
bin11000101010011…
…01100111110000
3112102021222011121
430111031213300
5410430344113
632310152024
75061341200
oct1425154760
9472258147
10206887408
11a6867632
1259352614
1333b291b0
141d696400
1513269e8d
hexc54d9f0

206887408 has 120 divisors (see below), whose sum is σ = 512967168. Its totient is φ = 80091648.

The previous prime is 206887403. The next prime is 206887423. The reversal of 206887408 is 804788602.

206887408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206887403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539985 + ... + 540367.

Almost surely, 2206887408 is an apocalyptic number.

206887408 is a gapful number since it is divisible by the number (28) 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 206887408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

206887408 is an abundant number, since it is smaller than the sum of its proper divisors (306079760).

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

206887408 is a wasteful number, since it uses less digits than its factorization.

206887408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 206887408 is about 14383.5811952379. The cubic root of 206887408 is about 591.4408983583.

The spelling of 206887408 in words is "two hundred six million, eight hundred eighty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 53 56 91 98 104 106 112 182 196 208 212 364 371 383 392 424 637 689 728 742 766 784 848 1274 1378 1456 1484 1532 2548 2597 2681 2756 2968 3064 4823 4979 5096 5194 5362 5512 5936 6128 9646 9958 10192 10388 10724 11024 18767 19292 19916 20299 20776 21448 33761 34853 37534 38584 39832 40598 41552 42896 67522 69706 75068 77168 79664 81196 135044 139412 142093 150136 162392 243971 263887 270088 278824 284186 300272 324784 487942 527774 540176 557648 568372 975884 994651 1055548 1136744 1847209 1951768 1989302 2111096 2273488 3694418 3903536 3978604 4222192 7388836 7957208 12930463 14777672 15914416 25860926 29555344 51721852 103443704 206887408