Search a number
-
+
242563560 = 233516312401
BaseRepresentation
bin11100111010100…
…11100111101000
3121220102111122120
432131103213220
5444044013220
640022551240
76003520251
oct1635234750
9556374576
10242563560
11114a14658
1269298520
133b33a945
1424301b28
1516465a40
hexe7539e8

242563560 has 64 divisors (see below), whose sum is σ = 732214080. Its totient is φ = 64281600.

The previous prime is 242563553. The next prime is 242563579. The reversal of 242563560 is 65365242.

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, 13360 + ... + 25760.

It is an arithmetic number, because the mean of its divisors is an integer number (11440845).

Almost surely, 2242563560 is an apocalyptic number.

242563560 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 242563560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366107040).

242563560 is an abundant number, since it is smaller than the sum of its proper divisors (489650520).

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

242563560 is a wasteful number, since it uses less digits than its factorization.

242563560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12578 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 242563560 is about 15574.4521572991. The cubic root of 242563560 is about 623.6513297015.

The spelling of 242563560 in words is "two hundred forty-two million, five hundred sixty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 815 978 1304 1630 1956 2445 3260 3912 4890 6520 9780 12401 19560 24802 37203 49604 62005 74406 99208 124010 148812 186015 248020 297624 372030 496040 744060 1488120 2021363 4042726 6064089 8085452 10106815 12128178 16170904 20213630 24256356 30320445 40427260 48512712 60640890 80854520 121281780 242563560