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540549144 = 23327507627
BaseRepresentation
bin100000001110000…
…010000000011000
31101200010202000200
4200032002000120
52101340033034
6125345502200
716252410012
oct4016020030
91350122020
10540549144
11258142633
12131041960
1387cb1885
1451b0d1b2
15326c7a99
hex20382018

540549144 has 24 divisors (see below), whose sum is σ = 1463987460. Its totient is φ = 180183024.

The previous prime is 540549143. The next prime is 540549161. The reversal of 540549144 is 441945045.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540549099 and 540549108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540549143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3753742 + ... + 3753885.

Almost surely, 2540549144 is an apocalyptic number.

It is an amenable number.

540549144 is an abundant number, since it is smaller than the sum of its proper divisors (923438316).

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

540549144 is a wasteful number, since it uses less digits than its factorization.

540549144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7507639 (or 7507632 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 540549144 is about 23249.7127724194. The cubic root of 540549144 is about 814.6012296360.

The spelling of 540549144 in words is "five hundred forty million, five hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7507627 15015254 22522881 30030508 45045762 60061016 67568643 90091524 135137286 180183048 270274572 540549144