Search a number
-
+
206430000 = 243547983
BaseRepresentation
bin11000100110111…
…01111100110000
3112101102201201120
430103131330300
5410321230000
632252302240
75054424510
oct1423357460
9471381646
10206430000
11a6584a07
1259171980
13339c8c3a
141d5b7840
15131c96a0
hexc4ddf30

206430000 has 200 divisors, whose sum is σ = 762355968. Its totient is φ = 47136000.

The previous prime is 206429999. The next prime is 206430011. The reversal of 206430000 is 34602.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2064300002 = 85226689800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209509 + ... + 210491.

Almost surely, 2206430000 is an apocalyptic number.

206430000 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 206430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381177984).

206430000 is an abundant number, since it is smaller than the sum of its proper divisors (555925968).

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

206430000 is an equidigital number, since it uses as much as digits as its factorization.

206430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 206430000 is about 14367.6720452549. The cubic root of 206430000 is about 591.0047039115.

Adding to 206430000 its reverse (34602), we get a palindrome (206464602).

The spelling of 206430000 in words is "two hundred six million, four hundred thirty thousand".