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540456005 = 5120190001
BaseRepresentation
bin100000001101101…
…011010001000101
31101122222000021002
4200031223101011
52101324043010
6125343503045
716251541325
oct4015532105
91348860232
10540456005
11258089661
12130bb7a85
1387c7b36b
1451ac7285
15326aa1a5
hex2036b445

540456005 has 8 divisors (see below), whose sum is σ = 649094424. Its totient is φ = 432000000.

The previous prime is 540455987. The next prime is 540456017. The reversal of 540456005 is 500654045.

It can be written as a sum of positive squares in 4 ways, for example, as 59706529 + 480749476 = 7727^2 + 21926^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-540456005 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38996 + ... + 51005.

It is an arithmetic number, because the mean of its divisors is an integer number (81136803).

Almost surely, 2540456005 is an apocalyptic number.

It is an amenable number.

540456005 is a deficient number, since it is larger than the sum of its proper divisors (108638419).

540456005 is a wasteful number, since it uses less digits than its factorization.

540456005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91207.

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 540456005 is about 23247.7096721376. The cubic root of 540456005 is about 814.5544404878.

It can be divided in two parts, 54045 and 6005, that multiplied together give a square (324540225 = 180152).

The spelling of 540456005 in words is "five hundred forty million, four hundred fifty-six thousand, five".

Divisors: 1 5 1201 6005 90001 450005 108091201 540456005