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242530240 = 2653112437
BaseRepresentation
bin11100111010010…
…11011111000000
3121220100210221111
432131023133000
5444041431430
640022133104
76003321151
oct1635133700
9556323844
10242530240
111149a1617
1269281194
133b328724
14242d3928
151645ac2a
hexe74b7c0

242530240 has 56 divisors (see below), whose sum is σ = 579619872. Its totient is φ = 96660480.

The previous prime is 242530229. The next prime is 242530247. The reversal of 242530240 is 42035242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242530247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98302 + ... + 100738.

Almost surely, 2242530240 is an apocalyptic number.

242530240 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 242530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289809936).

242530240 is an abundant number, since it is smaller than the sum of its proper divisors (337089632).

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

242530240 is a wasteful number, since it uses less digits than its factorization.

242530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 242530240 is about 15573.3824200140. The cubic root of 242530240 is about 623.6227722190.

Adding to 242530240 its reverse (42035242), we get a palindrome (284565482).

The spelling of 242530240 in words is "two hundred forty-two million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 311 320 622 1244 1555 2437 2488 3110 4874 4976 6220 9748 9952 12185 12440 19496 19904 24370 24880 38992 48740 49760 77984 97480 99520 155968 194960 389920 757907 779840 1515814 3031628 3789535 6063256 7579070 12126512 15158140 24253024 30316280 48506048 60632560 121265120 242530240