Search a number
-
+
203899040 = 2551578117
BaseRepresentation
bin11000010011101…
…00000010100000
3112012200010220022
430021310002200
5404144232130
632122133012
75024053562
oct1411640240
9465603808
10203899040
11a5106404
1258351168
1333320c27
141d119332
1512d797e5
hexc2740a0

203899040 has 48 divisors (see below), whose sum is σ = 484839432. Its totient is φ = 81030144.

The previous prime is 203899039. The next prime is 203899049. The reversal of 203899040 is 40998302.

It can be written as a sum of positive squares in 4 ways, for example, as 182034064 + 21864976 = 13492^2 + 4676^2 .

It is not an unprimeable number, because it can be changed into a prime (203899049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21062 + ... + 29178.

Almost surely, 2203899040 is an apocalyptic number.

203899040 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 203899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242419716).

203899040 is an abundant number, since it is smaller than the sum of its proper divisors (280940392).

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

203899040 is a wasteful number, since it uses less digits than its factorization.

203899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 203899040 is about 14279.3221127615. The cubic root of 203899040 is about 588.5794032736.

The spelling of 203899040 in words is "two hundred three million, eight hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 8117 12560 16234 25120 32468 40585 64936 81170 129872 162340 259744 324680 649360 1274369 1298720 2548738 5097476 6371845 10194952 12743690 20389904 25487380 40779808 50974760 101949520 203899040