Search a number
-
+
203580084 = 223232293221
BaseRepresentation
bin11000010001001…
…10001010110100
3112012001221101010
430020212022310
5404104030314
632111232220
75021254641
oct1410461264
9465057333
10203580084
11a4a08804
1258218670
133323b9b6
141d074dc8
1512d15059
hexc2262b4

203580084 has 48 divisors (see below), whose sum is σ = 497992320. Its totient is φ = 64606080.

The previous prime is 203580073. The next prime is 203580187. The reversal of 203580084 is 480085302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61594 + ... + 64814.

It is an arithmetic number, because the mean of its divisors is an integer number (10374840).

Almost surely, 2203580084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203580084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248996160).

203580084 is an abundant number, since it is smaller than the sum of its proper divisors (294412236).

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

203580084 is a wasteful number, since it uses less digits than its factorization.

203580084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 203580084 is about 14268.1492843326. The cubic root of 203580084 is about 588.2723413318.

The spelling of 203580084 in words is "two hundred three million, five hundred eighty thousand, eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 229 276 458 687 916 1374 2748 3221 5267 6442 9663 10534 12884 15801 19326 21068 31602 38652 63204 74083 148166 222249 296332 444498 737609 888996 1475218 2212827 2950436 4425654 8851308 16965007 33930014 50895021 67860028 101790042 203580084