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540054411 = 313611371657
BaseRepresentation
bin100000001100001…
…001001110001011
31101122012121101020
4200030021032023
52101223220121
6125331123523
716245246441
oct4014111613
91348177336
10540054411
11257934966
12130a435a3
1387b6a630
1451a20b91
153262b1c6
hex2030938b

540054411 has 32 divisors (see below), whose sum is σ = 794407488. Its totient is φ = 324311040.

The previous prime is 540054407. The next prime is 540054433. The reversal of 540054411 is 114450045.

It is a happy number.

It is not a de Polignac number, because 540054411 - 22 = 540054407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540054481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325095 + ... + 326751.

It is an arithmetic number, because the mean of its divisors is an integer number (24825234).

Almost surely, 2540054411 is an apocalyptic number.

540054411 is a deficient number, since it is larger than the sum of its proper divisors (254353077).

540054411 is a wasteful number, since it uses less digits than its factorization.

540054411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 540054411 is about 23239.0707860706. The cubic root of 540054411 is about 814.3526348334.

The spelling of 540054411 in words is "five hundred forty million, fifty-four thousand, four hundred eleven".

Divisors: 1 3 13 39 61 137 183 411 793 1657 1781 2379 4971 5343 8357 21541 25071 64623 101077 108641 227009 303231 325923 681027 1314001 2951117 3942003 8853351 13847549 41542647 180018137 540054411