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242136126 = 23216638089
BaseRepresentation
bin11100110111010…
…11010000111110
3121212121210022200
432123223100332
5443441324001
640005452330
76000060141
oct1633532076
9555553280
10242136126
11114752501
12691110a6
133b21b21b
1424230058
15163ce086
hexe6eb43e

242136126 has 24 divisors (see below), whose sum is σ = 525008640. Its totient is φ = 80653536.

The previous prime is 242136121. The next prime is 242136131. The reversal of 242136126 is 621631242.

242136126 is a `hidden beast` number, since 2 + 42 + 1 + 3 + 612 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (242136121) and next prime (242136131).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 242136126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242136121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25890 + ... + 33978.

It is an arithmetic number, because the mean of its divisors is an integer number (21875360).

Almost surely, 2242136126 is an apocalyptic number.

242136126 is an abundant number, since it is smaller than the sum of its proper divisors (282872514).

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

242136126 is a wasteful number, since it uses less digits than its factorization.

242136126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9760 (or 9757 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 242136126 is about 15560.7238263520. The cubic root of 242136126 is about 623.2847913877.

Adding to 242136126 its reverse (621631242), we get a palindrome (863767368).

The spelling of 242136126 in words is "two hundred forty-two million, one hundred thirty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 1663 3326 4989 8089 9978 14967 16178 24267 29934 48534 72801 145602 13452007 26904014 40356021 80712042 121068063 242136126