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540376516 = 225921972
BaseRepresentation
bin100000001101010…
…111110111000100
31101122210222020001
4200031113313010
52101314022031
6125342051044
716251060511
oct4015276704
91348728201
10540376516
11258034969
12130b79a84
1387c51124
1451aa6308
1532691861
hex20357dc4

540376516 has 27 divisors (see below), whose sum is σ = 966866509. Its totient is φ = 264260528.

The previous prime is 540376489. The next prime is 540376519. The reversal of 540376516 is 615673045.

The square root of 540376516 is 23246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 529460100 + 10916416 = 23010^2 + 3304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540376519) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2742930 + ... + 2743126.

Almost surely, 2540376516 is an apocalyptic number.

540376516 is the 23246-th square number.

It is an amenable number.

540376516 is a deficient number, since it is larger than the sum of its proper divisors (426489993).

540376516 is an equidigital number, since it uses as much as digits as its factorization.

540376516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The cubic root of 540376516 is about 814.5145042784.

The spelling of 540376516 in words is "five hundred forty million, three hundred seventy-six thousand, five hundred sixteen".

Divisors: 1 2 4 59 118 197 236 394 788 3481 6962 11623 13924 23246 38809 46492 77618 155236 685757 1371514 2289731 2743028 4579462 9158924 135094129 270188258 540376516