Search a number
-
+
243803580 = 223529612297
BaseRepresentation
bin11101000100000…
…10010110111100
3121222202111122020
432202002112330
5444403203310
640105320140
76020203416
oct1642022674
9558674566
10243803580
11115691269
1269796050
133b683197
14245459b6
151660d170
hexe8825bc

243803580 has 96 divisors (see below), whose sum is σ = 718079040. Its totient is φ = 61716480.

The previous prime is 243803557. The next prime is 243803587. The reversal of 243803580 is 85308342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243803587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104992 + ... + 107288.

It is an arithmetic number, because the mean of its divisors is an integer number (7479990).

Almost surely, 2243803580 is an apocalyptic number.

243803580 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 243803580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359039520).

243803580 is an abundant number, since it is smaller than the sum of its proper divisors (474275460).

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

243803580 is a wasteful number, since it uses less digits than its factorization.

243803580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 243803580 is about 15614.2108350054. The cubic root of 243803580 is about 624.7122558122.

The spelling of 243803580 in words is "two hundred forty-three million, eight hundred three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 61 87 116 122 145 174 183 244 290 305 348 366 435 580 610 732 870 915 1220 1740 1769 1830 2297 3538 3660 4594 5307 6891 7076 8845 9188 10614 11485 13782 17690 21228 22970 26535 27564 34455 35380 45940 53070 66613 68910 106140 133226 137820 140117 199839 266452 280234 333065 399678 420351 560468 666130 700585 799356 840702 999195 1332260 1401170 1681404 1998390 2101755 2802340 3996780 4063393 4203510 8126786 8407020 12190179 16253572 20316965 24380358 40633930 48760716 60950895 81267860 121901790 243803580