Search a number
-
+
242530980 = 223531831571
BaseRepresentation
bin11100111010010…
…11101010100100
3121220100211221220
432131023222210
5444041442410
640022140340
76003323256
oct1635135244
9556324856
10242530980
111149a212a
12692816b0
133b328b73
14242d3cd6
151645b070
hexe74baa4

242530980 has 96 divisors (see below), whose sum is σ = 709890048. Its totient is φ = 61795200.

The previous prime is 242530969. The next prime is 242530999. The reversal of 242530980 is 89035242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153595 + ... + 155165.

It is an arithmetic number, because the mean of its divisors is an integer number (7394688).

Almost surely, 2242530980 is an apocalyptic number.

242530980 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 242530980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354945024).

242530980 is an abundant number, since it is smaller than the sum of its proper divisors (467359068).

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

242530980 is a wasteful number, since it uses less digits than its factorization.

242530980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 242530980 is about 15573.4061784826. The cubic root of 242530980 is about 623.6234064772.

The spelling of 242530980 in words is "two hundred forty-two million, five hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 124 155 166 186 249 310 332 372 415 465 498 620 830 930 996 1245 1571 1660 1860 2490 2573 3142 4713 4980 5146 6284 7719 7855 9426 10292 12865 15438 15710 18852 23565 25730 30876 31420 38595 47130 48701 51460 77190 94260 97402 130393 146103 154380 194804 243505 260786 292206 391179 487010 521572 584412 651965 730515 782358 974020 1303930 1461030 1564716 1955895 2607860 2922060 3911790 4042183 7823580 8084366 12126549 16168732 20210915 24253098 40421830 48506196 60632745 80843660 121265490 242530980