Search a number
-
+
243081180 = 223254759487
BaseRepresentation
bin11100111110100…
…01111111011100
3121221101210200200
432133101333130
5444212044210
640042023500
76011104326
oct1637217734
9557353620
10243081180
11115238541
12694a7b90
133b48c424
14243d8616
15165190c0
hexe7d1fdc

243081180 has 144 divisors (see below), whose sum is σ = 767370240. Its totient is φ = 62239104.

The previous prime is 243081149. The next prime is 243081191. The reversal of 243081180 is 81180342.

243081180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498897 + ... + 499383.

It is an arithmetic number, because the mean of its divisors is an integer number (5328960).

Almost surely, 2243081180 is an apocalyptic number.

243081180 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 243081180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383685120).

243081180 is an abundant number, since it is smaller than the sum of its proper divisors (524289060).

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

243081180 is a wasteful number, since it uses less digits than its factorization.

243081180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 243081180 is about 15591.0609004006. The cubic root of 243081180 is about 624.0946293864.

The spelling of 243081180 in words is "two hundred forty-three million, eighty-one thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 59 60 90 94 118 141 177 180 188 235 236 282 295 354 423 470 487 531 564 590 705 708 846 885 940 974 1062 1180 1410 1461 1692 1770 1948 2115 2124 2435 2655 2773 2820 2922 3540 4230 4383 4870 5310 5546 5844 7305 8319 8460 8766 9740 10620 11092 13865 14610 16638 17532 21915 22889 24957 27730 28733 29220 33276 41595 43830 45778 49914 55460 57466 68667 83190 86199 87660 91556 99828 114445 114932 124785 137334 143665 166380 172398 206001 228890 249570 258597 274668 287330 343335 344796 412002 430995 457780 499140 517194 574660 686670 824004 861990 1030005 1034388 1292985 1350451 1373340 1723980 2060010 2585970 2700902 4051353 4120020 5171940 5401804 6752255 8102706 12154059 13504510 16205412 20256765 24308118 27009020 40513530 48616236 60770295 81027060 121540590 243081180