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540506673 = 32773211557
BaseRepresentation
bin100000001101110…
…111101000110001
31101200001120202200
4200031313220301
52101332203143
6125344533413
716252142130
oct4015675061
91350046680
10540506673
11258113733
12131021269
1387c98445
1451adb917
15326ba1d3
hex20377a31

540506673 has 48 divisors (see below), whose sum is σ = 910406016. Its totient is φ = 302641920.

The previous prime is 540506671. The next prime is 540506677. The reversal of 540506673 is 376605045.

540506673 is a `hidden beast` number, since 540 + 50 + 6 + 67 + 3 = 666.

It is not a de Polignac number, because 540506673 - 21 = 540506671 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540506671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 970111 + ... + 970667.

It is an arithmetic number, because the mean of its divisors is an integer number (18966792).

Almost surely, 2540506673 is an apocalyptic number.

It is an amenable number.

540506673 is a deficient number, since it is larger than the sum of its proper divisors (369899343).

540506673 is a wasteful number, since it uses less digits than its factorization.

540506673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 540506673 is about 23248.7993883555. The cubic root of 540506673 is about 814.5798946440.

The spelling of 540506673 in words is "five hundred forty million, five hundred six thousand, six hundred seventy-three".

Divisors: 1 3 7 9 21 63 73 211 219 511 557 633 657 1477 1533 1671 1899 3899 4431 4599 5013 11697 13293 15403 35091 40661 46209 107821 117527 121983 138627 284627 323463 352581 365949 822689 853881 970389 1057743 2468067 2561643 7404201 8579471 25738413 60056297 77215239 180168891 540506673