Search a number
-
+
540924440 = 23579412053
BaseRepresentation
bin100000001111011…
…101101000011000
31101200211210211112
4200033131220120
52101434040230
6125401515452
716255532120
oct4017355030
91350753745
10540924440
112583795a1
121311a2b88
13880b3644
1451ba9c80
153274dd95
hex203dda18

540924440 has 64 divisors (see below), whose sum is σ = 1393104960. Its totient is φ = 185172480.

The previous prime is 540924427. The next prime is 540924451. The reversal of 540924440 is 44429045.

It is a junction number, because it is equal to n+sod(n) for n = 540924397 and 540924406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 262454 + ... + 264506.

It is an arithmetic number, because the mean of its divisors is an integer number (21767265).

Almost surely, 2540924440 is an apocalyptic number.

It is an amenable number.

540924440 is an abundant number, since it is smaller than the sum of its proper divisors (852180520).

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

540924440 is a wasteful number, since it uses less digits than its factorization.

540924440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 540924440 is about 23257.7823534403. The cubic root of 540924440 is about 814.7897082490.

The spelling of 540924440 in words is "five hundred forty million, nine hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 941 1882 2053 3764 4106 4705 6587 7528 8212 9410 10265 13174 14371 16424 18820 20530 26348 28742 32935 37640 41060 52696 57484 65870 71855 82120 114968 131740 143710 263480 287420 574840 1931873 3863746 7727492 9659365 13523111 15454984 19318730 27046222 38637460 54092444 67615555 77274920 108184888 135231110 270462220 540924440