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242544260 = 22578320873
BaseRepresentation
bin11100111010011…
…10111010000100
3121220101112011202
432131032322010
5444042404020
640022322032
76003410060
oct1635167204
9556345152
10242544260
11114a01102
1269289318
133b331c1a
14242d8aa0
151645ee75
hexe74ee84

242544260 has 48 divisors (see below), whose sum is σ = 589147776. Its totient is φ = 82152192.

The previous prime is 242544257. The next prime is 242544311. The reversal of 242544260 is 62445242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184 + ... + 22056.

It is an arithmetic number, because the mean of its divisors is an integer number (12273912).

Almost surely, 2242544260 is an apocalyptic number.

242544260 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 242544260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294573888).

242544260 is an abundant number, since it is smaller than the sum of its proper divisors (346603516).

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

242544260 is a wasteful number, since it uses less digits than its factorization.

242544260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20972 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 242544260 is about 15573.8325405149. The cubic root of 242544260 is about 623.6347886213.

The spelling of 242544260 in words is "two hundred forty-two million, five hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 20873 41746 83492 104365 146111 208730 292222 417460 584444 730555 1461110 1732459 2922220 3464918 6929836 8662295 12127213 17324590 24254426 34649180 48508852 60636065 121272130 242544260