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540114246 = 232713930839
BaseRepresentation
bin100000001100010…
…111110101000110
31101122022122110100
4200030113311012
52101232123441
6125332304530
716245616050
oct4014276506
91348278410
10540114246
11257975911
12130a72146
1387b8b939
1451a388d0
153263dcb6
hex20317d46

540114246 has 48 divisors (see below), whose sum is σ = 1347091200. Its totient is φ = 153203184.

The previous prime is 540114233. The next prime is 540114247. The reversal of 540114246 is 642411045.

540114246 is a `hidden beast` number, since 5 + 401 + 14 + 246 = 666.

It is a super-4 number, since 4×5401142464 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540114247) 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 23 ways as a sum of consecutive naturals, for example, 2095 + ... + 32933.

It is an arithmetic number, because the mean of its divisors is an integer number (28064400).

Almost surely, 2540114246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540114246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673545600).

540114246 is an abundant number, since it is smaller than the sum of its proper divisors (806976954).

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

540114246 is a wasteful number, since it uses less digits than its factorization.

540114246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30993 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540114246 is about 23240.3581297707. The cubic root of 540114246 is about 814.3827089577.

The spelling of 540114246 in words is "five hundred forty million, one hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8757 17514 30839 61678 92517 185034 215873 277551 431746 555102 647619 1295238 1942857 3885714 4286621 8573242 12859863 25719726 30006347 38579589 60012694 77159178 90019041 180038082 270057123 540114246