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540143127 = 3320005301
BaseRepresentation
bin100000001100011…
…110111000010111
31101122101010002000
4200030132320113
52101234040002
6125333050343
716246066206
oct4014367027
91348333060
10540143127
11257995587
12130a869b3
1387b9bb24
1451a4523d
153264761c
hex2031ee17

540143127 has 8 divisors (see below), whose sum is σ = 800212080. Its totient is φ = 360095400.

The previous prime is 540143099. The next prime is 540143189. The reversal of 540143127 is 721341045.

It is not a de Polignac number, because 540143127 - 28 = 540142871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 20005301 = 540143127 / (5 + 4 + 0 + 1 + 4 + 3 + 1 + 2 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 540143127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540143927) 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, 10002624 + ... + 10002677.

It is an arithmetic number, because the mean of its divisors is an integer number (100026510).

Almost surely, 2540143127 is an apocalyptic number.

540143127 is a deficient number, since it is larger than the sum of its proper divisors (260068953).

540143127 is a wasteful number, since it uses less digits than its factorization.

540143127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20005310 (or 20005304 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 540143127 is about 23240.9794759171. The cubic root of 540143127 is about 814.3972242619.

The spelling of 540143127 in words is "five hundred forty million, one hundred forty-three thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 20005301 60015903 180047709 540143127