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540300031 = 43107117431
BaseRepresentation
bin100000001101000…
…101001011111111
31101122200002022021
4200031011023333
52101304100111
6125340301011
716250321515
oct4015051377
91348602267
10540300031
11257a92457
12130b41767
1387c2537b
1451a864b5
1532678d71
hex203452ff

540300031 has 8 divisors (see below), whose sum is σ = 558036864. Its totient is φ = 522798360.

The previous prime is 540299999. The next prime is 540300049. The reversal of 540300031 is 130003045.

540300031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540300031 - 25 = 540299999 is a prime.

It is a super-2 number, since 2×5403000312 = 583848246997201922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 540299978 and 540300014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540300331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54115 + ... + 63316.

It is an arithmetic number, because the mean of its divisors is an integer number (69754608).

Almost surely, 2540300031 is an apocalyptic number.

540300031 is a deficient number, since it is larger than the sum of its proper divisors (17736833).

540300031 is a wasteful number, since it uses less digits than its factorization.

540300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117581.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 540300031 is about 23244.3548200418. The cubic root of 540300031 is about 814.4760736167.

Adding to 540300031 its reverse (130003045), we get a palindrome (670303076).

The spelling of 540300031 in words is "five hundred forty million, three hundred thousand, thirty-one".

Divisors: 1 43 107 4601 117431 5049533 12565117 540300031