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540931365 = 35513231489
BaseRepresentation
bin100000001111011…
…111010100100101
31101200212011100000
4200033133110211
52101434300430
6125402011513
716255561242
oct4017372445
91350764300
10540931365
11258383817
121311a6b99
13880b6840
1451bac5c9
1532750e60
hex203df525

540931365 has 96 divisors (see below), whose sum is σ = 1093397760. Its totient is φ = 254555136.

The previous prime is 540931361. The next prime is 540931367. The reversal of 540931365 is 563139045.

540931365 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 540931365 - 22 = 540931361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540931361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362541 + ... + 364029.

It is an arithmetic number, because the mean of its divisors is an integer number (11389560).

Almost surely, 2540931365 is an apocalyptic number.

It is an amenable number.

540931365 is an abundant number, since it is smaller than the sum of its proper divisors (552466395).

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

540931365 is a wasteful number, since it uses less digits than its factorization.

540931365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 540931365 is about 23257.9312278629. The cubic root of 540931365 is about 814.7931852562.

The spelling of 540931365 in words is "five hundred forty million, nine hundred thirty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 115 117 135 195 207 243 299 345 351 405 585 621 897 1035 1053 1215 1489 1495 1755 1863 2691 3105 3159 4467 4485 5265 5589 7445 8073 9315 13401 13455 15795 19357 22335 24219 27945 34247 40203 40365 58071 67005 72657 96785 102741 120609 121095 171235 174213 201015 290355 308223 361827 363285 445211 513705 522639 603045 871065 924669 1335633 1541115 1567917 1809135 2226055 2613195 2774007 4006899 4623345 4703751 6678165 7839585 8322021 12020697 13870035 20034495 23518755 36062091 41610105 60103485 108186273 180310455 540931365