Search a number
-
+
242468680 = 23510160017
BaseRepresentation
bin11100111001111…
…00011101001000
3121220020200111111
432130330131020
5444032444210
640020540104
76002643526
oct1634743510
9556220444
10242468680
1111495a343
1269251634
133b3066bc
14242b9316
151644788a
hexe73c748

242468680 has 32 divisors (see below), whose sum is σ = 550965240. Its totient is φ = 96025600.

The previous prime is 242468657. The next prime is 242468683. The reversal of 242468680 is 86864242.

It can be written as a sum of positive squares in 4 ways, for example, as 242051364 + 417316 = 15558^2 + 646^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (242468683) 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, 25969 + ... + 34048.

Almost surely, 2242468680 is an apocalyptic number.

242468680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242468680 is an abundant number, since it is smaller than the sum of its proper divisors (308496560).

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

242468680 is a wasteful number, since it uses less digits than its factorization.

242468680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60129 (or 60125 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 242468680 is about 15571.4058453307. The cubic root of 242468680 is about 623.5700042749.

The spelling of 242468680 in words is "two hundred forty-two million, four hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 60017 120034 240068 300085 480136 600170 1200340 2400680 6061717 12123434 24246868 30308585 48493736 60617170 121234340 242468680