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240436013 = 1929241367
BaseRepresentation
bin11100101010011…
…00001100101101
3121202102102012112
432111030030231
5443022423023
635505213405
75646446426
oct1625141455
9552372175
10240436013
111137a1154
1268631265
133aa7443c
1423d0a64d
1516195478
hexe54c32d

240436013 has 24 divisors (see below), whose sum is σ = 269243520. Its totient is φ = 213978240.

The previous prime is 240436003. The next prime is 240436057. The reversal of 240436013 is 310634042.

It is a happy number.

240436013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 240436013 - 210 = 240434989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 240436013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240436003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654956 + ... + 655322.

It is an arithmetic number, because the mean of its divisors is an integer number (11218480).

Almost surely, 2240436013 is an apocalyptic number.

It is an amenable number.

240436013 is a deficient number, since it is larger than the sum of its proper divisors (28807507).

240436013 is a wasteful number, since it uses less digits than its factorization.

240436013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 240436013 is about 15505.9992583516. Note that the first 3 decimals coincide. The cubic root of 240436013 is about 621.8226051259.

Adding to 240436013 its sum of digits (23), we get a square (240436036 = 155062).

The spelling of 240436013 in words is "two hundred forty million, four hundred thirty-six thousand, thirteen".

Divisors: 1 19 29 41 367 551 779 841 1189 6973 10643 15047 15979 22591 34481 202217 285893 308647 436363 655139 5864293 8290897 12654527 240436013