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242113032 = 23327480383
BaseRepresentation
bin11100110111001…
…01101000001000
3121212120121122100
432123211220020
5443440104112
640005153400
75666632620
oct1633455010
9555517570
10242113032
11114737117
12690bb860
133b210865
1424225880
15163c72dc
hexe6e5a08

242113032 has 48 divisors (see below), whose sum is σ = 749399040. Its totient is φ = 69175008.

The previous prime is 242112989. The next prime is 242113057. The reversal of 242113032 is 230311242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242112996 and 242113014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239688 + ... + 240695.

It is an arithmetic number, because the mean of its divisors is an integer number (15612480).

Almost surely, 2242113032 is an apocalyptic number.

It is an amenable number.

242113032 is an abundant number, since it is smaller than the sum of its proper divisors (507286008).

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

242113032 is a wasteful number, since it uses less digits than its factorization.

242113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480402 (or 480395 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242113032 is about 15559.9817480613. The cubic root of 242113032 is about 623.2649752663.

Adding to 242113032 its reverse (230311242), we get a palindrome (472424274).

The spelling of 242113032 in words is "two hundred forty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 480383 960766 1441149 1921532 2882298 3362681 3843064 4323447 5764596 6725362 8646894 10088043 11529192 13450724 17293788 20176086 26901448 30264129 34587576 40352172 60528258 80704344 121056516 242113032