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540906985 = 52329592749
BaseRepresentation
bin100000001111011…
…001010111101001
31101200210220220001
4200033121113221
52101433010420
6125401303001
716255430203
oct4017312751
91350726801
10540906985
11258367473
12131194a61
13880a8708
1451ba3773
1532748b0a
hex203d95e9

540906985 has 32 divisors (see below), whose sum is σ = 712800000. Its totient is φ = 392722176.

The previous prime is 540906983. The next prime is 540907049. The reversal of 540906985 is 589609045.

540906985 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 540906985 - 21 = 540906983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540906983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195391 + ... + 198139.

It is an arithmetic number, because the mean of its divisors is an integer number (22275000).

Almost surely, 2540906985 is an apocalyptic number.

It is an amenable number.

540906985 is a deficient number, since it is larger than the sum of its proper divisors (171893015).

540906985 is a wasteful number, since it uses less digits than its factorization.

540906985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865.

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 540906985 is about 23257.4070996747. The cubic root of 540906985 is about 814.7809440506.

It can be divided in two parts, 54090 and 6985, that added together give a triangular number (61075 = T349).

The spelling of 540906985 in words is "five hundred forty million, nine hundred six thousand, nine hundred eighty-five".

Divisors: 1 5 23 29 59 115 145 295 667 1357 1711 2749 3335 6785 8555 13745 39353 63227 79721 162191 196765 316135 398605 810955 1833583 3730393 4703539 9167915 18651965 23517695 108181397 540906985