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540140535 = 33511363731
BaseRepresentation
bin100000001100011…
…110001111110111
31101122100222112000
4200030132033313
52101233444120
6125333030343
716246055514
oct4014361767
91348328460
10540140535
11257993640
12130a853b3
1387b9a8ac
1451a4430b
1532646990
hex2031e3f7

540140535 has 32 divisors (see below), whose sum is σ = 1047548160. Its totient is φ = 261885600.

The previous prime is 540140509. The next prime is 540140539. The reversal of 540140535 is 535041045.

It is not a de Polignac number, because 540140535 - 216 = 540074999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540140499 and 540140508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540140539) 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, 180381 + ... + 183350.

It is an arithmetic number, because the mean of its divisors is an integer number (32735880).

Almost surely, 2540140535 is an apocalyptic number.

540140535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540140535 is a deficient number, since it is larger than the sum of its proper divisors (507407625).

540140535 is a wasteful number, since it uses less digits than its factorization.

540140535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363756 (or 363750 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 540140535 is about 23240.9237122796. The cubic root of 540140535 is about 814.3959215696.

The spelling of 540140535 in words is "five hundred forty million, one hundred forty thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 363731 1091193 1818655 3273579 4001041 5455965 9820737 12003123 16367895 20005205 36009369 49103685 60015615 108028107 180046845 540140535