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540208941 = 31038092161
BaseRepresentation
bin100000001100101…
…110111100101101
31101122111110100120
4200030232330231
52101243141231
6125334315153
716246462116
oct4014567455
91348443316
10540208941
11257a2aa78
12130ab8ab9
1387bc2a7c
1451a6120d
153265bd96
hex2032ef2d

540208941 has 16 divisors (see below), whose sum is σ = 728507520. Its totient is φ = 356037120.

The previous prime is 540208927. The next prime is 540208951. The reversal of 540208941 is 149802045.

540208941 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 540208941 - 25 = 540208909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540208951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248901 + ... + 251061.

It is an arithmetic number, because the mean of its divisors is an integer number (45531720).

Almost surely, 2540208941 is an apocalyptic number.

It is an amenable number.

540208941 is a deficient number, since it is larger than the sum of its proper divisors (188298579).

540208941 is a wasteful number, since it uses less digits than its factorization.

540208941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 540208941 is about 23242.3953369699. The cubic root of 540208941 is about 814.4302997929.

The spelling of 540208941 in words is "five hundred forty million, two hundred eight thousand, nine hundred forty-one".

Divisors: 1 3 103 309 809 2161 2427 6483 83327 222583 249981 667749 1748249 5244747 180069647 540208941