Search a number
-
+
203030000 = 245479257
BaseRepresentation
bin11000001100111…
…11110111110000
3112011000222210122
430012133313300
5403433430000
632051345412
75013504125
oct1406376760
9464028718
10203030000
11a4672498
1257bb2268
13330a84c4
141cd7074c
1512c57085
hexc19fdf0

203030000 has 100 divisors (see below), whose sum is σ = 499715040. Its totient is φ = 79872000.

The previous prime is 203029927. The next prime is 203030057. The reversal of 203030000 is 30302.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 203030000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 789872 + ... + 790128.

Almost surely, 2203030000 is an apocalyptic number.

203030000 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 203030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249857520).

203030000 is an abundant number, since it is smaller than the sum of its proper divisors (296685040).

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

203030000 is an equidigital number, since it uses as much as digits as its factorization.

203030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 203030000 is about 14248.8596034911. The cubic root of 203030000 is about 587.7420158776.

Adding to 203030000 its reverse (30302), we get a palindrome (203060302).

The spelling of 203030000 in words is "two hundred three million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 257 316 395 400 500 514 625 632 790 1000 1028 1250 1264 1285 1580 1975 2000 2056 2500 2570 3160 3950 4112 5000 5140 6320 6425 7900 9875 10000 10280 12850 15800 19750 20303 20560 25700 31600 32125 39500 40606 49375 51400 64250 79000 81212 98750 101515 102800 128500 158000 160625 162424 197500 203030 257000 321250 324848 395000 406060 507575 514000 642500 790000 812120 1015150 1285000 1624240 2030300 2537875 2570000 4060600 5075750 8121200 10151500 12689375 20303000 25378750 40606000 50757500 101515000 203030000