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540370413 = 33119718757
BaseRepresentation
bin100000001101010…
…110010111101101
31101122210122212000
4200031112113231
52101313323123
6125342002513
716251033642
oct4015262755
91348718760
10540370413
11258030320
12130b76439
1387c4b40b
1451aa3dc9
153268eb43
hex203565ed

540370413 has 32 divisors (see below), whose sum is σ = 882376320. Its totient is φ = 324103680.

The previous prime is 540370387. The next prime is 540370489. The reversal of 540370413 is 314073045.

540370413 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 540370413 - 29 = 540369901 is a prime.

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 (540370913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19431 + ... + 38187.

It is an arithmetic number, because the mean of its divisors is an integer number (27574260).

Almost surely, 2540370413 is an apocalyptic number.

It is an amenable number.

540370413 is a deficient number, since it is larger than the sum of its proper divisors (342005907).

540370413 is a wasteful number, since it uses less digits than its factorization.

540370413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18874 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 540370413 is about 23245.8687297335. The cubic root of 540370413 is about 814.5114378975.

The spelling of 540370413 in words is "five hundred forty million, three hundred seventy thousand, four hundred thirteen".

Divisors: 1 3 9 11 27 33 97 99 291 297 873 1067 2619 3201 9603 18757 28809 56271 168813 206327 506439 618981 1819429 1856943 5458287 5570829 16374861 20013719 49124583 60041157 180123471 540370413