Search a number
-
+
240541056 = 2733761163
BaseRepresentation
bin11100101011001…
…01110110000000
3121202121202022000
432111211312000
5443034303211
635511344000
75650364610
oct1625456600
9552552260
10240541056
11113863068
1268682000
133aab01b2
1423d36a40
15161b6656
hexe565d80

240541056 has 256 divisors, whose sum is σ = 829708800. Its totient is φ = 67184640.

The previous prime is 240541031. The next prime is 240541057. The reversal of 240541056 is 650145042.

240541056 is a `hidden beast` number, since 240 + 5 + 410 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240541057) 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 31 ways as a sum of consecutive naturals, for example, 1475631 + ... + 1475793.

It is an arithmetic number, because the mean of its divisors is an integer number (3241050).

Almost surely, 2240541056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414854400).

240541056 is an abundant number, since it is smaller than the sum of its proper divisors (589167744).

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

240541056 is a wasteful number, since it uses less digits than its factorization.

240541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 240541056 is about 15509.3860613501. The cubic root of 240541056 is about 621.9131470282.

Adding to 240541056 its reverse (650145042), we get a palindrome (890686098).

The spelling of 240541056 in words is "two hundred forty million, five hundred forty-one thousand, fifty-six".