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540054306 = 2321123118589
BaseRepresentation
bin100000001100001…
…001001100100010
31101122012121020100
4200030021030202
52101223214211
6125331123230
716245246231
oct4014111442
91348177210
10540054306
11257934880
12130a43516
1387b6a57c
1451a20b18
153262b156
hex20309322

540054306 has 48 divisors (see below), whose sum is σ = 1332002880. Its totient is φ = 156536160.

The previous prime is 540054301. The next prime is 540054311. The reversal of 540054306 is 603450045.

It is an interprime number because it is at equal distance from previous prime (540054301) and next prime (540054311).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540054306.

It is not an unprimeable number, because it can be changed into a prime (540054301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54741 + ... + 63848.

It is an arithmetic number, because the mean of its divisors is an integer number (27750060).

Almost surely, 2540054306 is an apocalyptic number.

540054306 is an abundant number, since it is smaller than the sum of its proper divisors (791948574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540054306 is a wasteful number, since it uses less digits than its factorization.

540054306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118631 (or 118628 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 540054306 is about 23239.0685269440. The cubic root of 540054306 is about 814.3525820566.

It can be divided in two parts, 54005 and 4306, that added together give a triangular number (58311 = T341).

The spelling of 540054306 in words is "five hundred forty million, fifty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 118589 237178 355767 711534 1067301 1304479 2134602 2608958 2727547 3913437 5455094 7826874 8182641 11740311 16365282 23480622 24547923 30003017 49095846 60006034 90009051 180018102 270027153 540054306