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540404435 = 523431031061
BaseRepresentation
bin100000001101011…
…110101011010011
31101122212101112002
4200031132223103
52101320420220
6125342424215
716251235064
oct4015365323
91348771462
10540404435
1125805393a
12130b9206b
1387c60a4c
1451ab256b
1532699c75
hex2035ead3

540404435 has 32 divisors (see below), whose sum is σ = 699798528. Its totient is φ = 399611520.

The previous prime is 540404419. The next prime is 540404453. The reversal of 540404435 is 534404045.

540404435 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 540404435 - 24 = 540404419 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540404398 and 540404407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508805 + ... + 509865.

It is an arithmetic number, because the mean of its divisors is an integer number (21868704).

Almost surely, 2540404435 is an apocalyptic number.

540404435 is a deficient number, since it is larger than the sum of its proper divisors (159394093).

540404435 is a wasteful number, since it uses less digits than its factorization.

540404435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 540404435 is about 23246.6005041597. The cubic root of 540404435 is about 814.5285315589.

The spelling of 540404435 in words is "five hundred forty million, four hundred four thousand, four hundred thirty-five".

Divisors: 1 5 23 43 103 115 215 515 989 1061 2369 4429 4945 5305 11845 22145 24403 45623 101867 109283 122015 228115 509335 546415 1049329 2513509 4699169 5246645 12567545 23495845 108080887 540404435