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540135031 = 5316216287
BaseRepresentation
bin100000001100011…
…100111001110111
31101122100200222011
4200030130321313
52101233310111
6125332545051
716246033462
oct4014347167
91348320864
10540135031
1125798a497
12130a82187
1387b98237
1451a422d9
1532645021
hex2031ce77

540135031 has 8 divisors (see below), whose sum is σ = 550753344. Its totient is φ = 529532640.

The previous prime is 540135007. The next prime is 540135047. The reversal of 540135031 is 130531045.

It is a happy number.

540135031 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 a de Polignac number, because none of the positive numbers 2k-540135031 is a prime.

It is a super-2 number, since 2×5401350312 = 583491703426741922, 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 = 540134993 and 540135011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540135061) 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, 82770 + ... + 89056.

It is an arithmetic number, because the mean of its divisors is an integer number (68844168).

Almost surely, 2540135031 is an apocalyptic number.

540135031 is a deficient number, since it is larger than the sum of its proper divisors (10618313).

540135031 is a wasteful number, since it uses less digits than its factorization.

540135031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 540135031 is about 23240.8053001612. The cubic root of 540135031 is about 814.3931553448.

Adding to 540135031 its reverse (130531045), we get a palindrome (670666076).

The spelling of 540135031 in words is "five hundred forty million, one hundred thirty-five thousand, thirty-one".

Divisors: 1 53 1621 6287 85913 333211 10191227 540135031