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540205215 = 351112232677
BaseRepresentation
bin100000001100101…
…110000010011111
31101122111021020120
4200030232002133
52101243031330
6125334250023
716246445214
oct4014560237
91348437216
10540205215
11257a281a0
12130ab6913
1387bc1174
1451a5db0b
153265ac10
hex2032e09f

540205215 has 32 divisors (see below), whose sum is σ = 944027136. Its totient is φ = 261605760.

The previous prime is 540205213. The next prime is 540205231. The reversal of 540205215 is 512502045.

It is a happy number.

It is not a de Polignac number, because 540205215 - 21 = 540205213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540205213) 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, 200457 + ... + 203133.

It is an arithmetic number, because the mean of its divisors is an integer number (29500848).

Almost surely, 2540205215 is an apocalyptic number.

540205215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540205215 is a deficient number, since it is larger than the sum of its proper divisors (403821921).

540205215 is a wasteful number, since it uses less digits than its factorization.

540205215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919.

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 540205215 is about 23242.3151815821. The cubic root of 540205215 is about 814.4284273234.

The spelling of 540205215 in words is "five hundred forty million, two hundred five thousand, two hundred fifteen".

Divisors: 1 3 5 11 15 33 55 165 1223 2677 3669 6115 8031 13385 13453 18345 29447 40155 40359 67265 88341 147235 201795 441705 3273971 9821913 16369855 36013681 49109565 108041043 180068405 540205215