Base | Representation |
---|---|
bin | 11100101000110… |
… | …10011100110000 |
3 | 121202001001200101 |
4 | 32110122130300 |
5 | 442444412430 |
6 | 35501002144 |
7 | 5644640353 |
oct | 1624323460 |
9 | 552031611 |
10 | 240232240 |
11 | 113672046 |
12 | 68553354 |
13 | 3aa02771 |
14 | 23c9629a |
15 | 16154dca |
hex | e51a730 |
240232240 has 80 divisors (see below), whose sum is σ = 587694528. Its totient is φ = 91148288.
The previous prime is 240232229. The next prime is 240232249. The reversal of 240232240 is 42232042.
240232240 is a nontrivial binomial coefficient, being equal to C(21920, 2).
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (240232249) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 251604 + ... + 252556.
Almost surely, 2240232240 is an apocalyptic number.
240232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
240232240 is the 21919-th triangular number and also the 10960-th hexagonal number.
240232240 is the 7307-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 240232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293847264).
240232240 is an abundant number, since it is smaller than the sum of its proper divisors (347462288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240232240 is a wasteful number, since it uses less digits than its factorization.
240232240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 19.
The square root of 240232240 is about 15499.4270861861. The cubic root of 240232240 is about 621.6468875904.
Adding to 240232240 its reverse (42232042), we get a palindrome (282464282).
The spelling of 240232240 in words is "two hundred forty million, two hundred thirty-two thousand, two hundred forty".
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