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242123240 = 2356053081
BaseRepresentation
bin11100110111010…
…00000111101000
3121212121010122102
432123220013220
5443440420430
640005312532
76000004442
oct1633500750
9555533572
10242123240
11114743857
1269105748
133b2153b8
1424229492
15163ca345
hexe6e81e8

242123240 has 16 divisors (see below), whose sum is σ = 544777380. Its totient is φ = 96849280.

The previous prime is 242123173. The next prime is 242123243. The reversal of 242123240 is 42321242.

242123240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 222427396 + 19695844 = 14914^2 + 4438^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242123243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3026501 + ... + 3026580.

Almost surely, 2242123240 is an apocalyptic number.

242123240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242123240 is an abundant number, since it is smaller than the sum of its proper divisors (302654140).

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

242123240 is a wasteful number, since it uses less digits than its factorization.

242123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053092 (or 6053088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242123240 is about 15560.3097655542. The cubic root of 242123240 is about 623.2737345352.

Adding to 242123240 its reverse (42321242), we get a palindrome (284444482).

The spelling of 242123240 in words is "two hundred forty-two million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6053081 12106162 24212324 30265405 48424648 60530810 121061620 242123240