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540423510 = 235112533
BaseRepresentation
bin100000001101100…
…011010101010110
31101122220100200120
4200031203111112
52101322023020
6125343052410
716251344514
oct4015432526
91348810616
10540423510
11258067200
12130ba1106
1387c69633
1451ab94b4
15326a0740
hex20363556

540423510 has 96 divisors (see below), whose sum is σ = 1453062240. Its totient is φ = 128539840.

The previous prime is 540423503. The next prime is 540423511. The reversal of 540423510 is 15324045.

540423510 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540423511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10196644 + ... + 10196696.

It is an arithmetic number, because the mean of its divisors is an integer number (15136065).

Almost surely, 2540423510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540423510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726531120).

540423510 is an abundant number, since it is smaller than the sum of its proper divisors (912638730).

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

540423510 is an equidigital number, since it uses as much as digits as its factorization.

540423510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540423510 is about 23247.0107755814. The cubic root of 540423510 is about 814.5381150905.

Adding to 540423510 its reverse (15324045), we get a palindrome (555747555).

The spelling of 540423510 in words is "five hundred forty million, four hundred twenty-three thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 121 159 165 242 265 318 330 363 530 583 605 726 795 1166 1210 1590 1749 1815 2809 2915 3498 3630 5618 5830 6413 8427 8745 12826 14045 16854 17490 19239 28090 30899 32065 38478 42135 61798 64130 84270 92697 96195 148877 154495 185394 192390 297754 308990 339889 446631 463485 679778 744385 893262 926970 1019667 1488770 1637647 1699445 2039334 2233155 3275294 3398890 4466310 4912941 5098335 8188235 9825882 10196670 16376470 18014117 24564705 36028234 49129410 54042351 90070585 108084702 180141170 270211755 540423510