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540164232 = 233247159623
BaseRepresentation
bin100000001100100…
…100000010001000
31101122102012000200
4200030210002020
52101240223412
6125333332200
716246214556
oct4014440210
91348365020
10540164232
112579aa423
12130a97060
1387ba860a
1451a4cbd6
153264d9dc
hex20324088

540164232 has 48 divisors (see below), whose sum is σ = 1494080640. Its totient is φ = 176222688.

The previous prime is 540164231. The next prime is 540164257. The reversal of 540164232 is 232461045.

It is a junction number, because it is equal to n+sod(n) for n = 540164196 and 540164205.

It is not an unprimeable number, because it can be changed into a prime (540164231) 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 11 ways as a sum of consecutive naturals, for example, 76428 + ... + 83195.

It is an arithmetic number, because the mean of its divisors is an integer number (31126680).

Almost surely, 2540164232 is an apocalyptic number.

It is an amenable number.

540164232 is an abundant number, since it is smaller than the sum of its proper divisors (953916408).

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

540164232 is a wasteful number, since it uses less digits than its factorization.

540164232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159682 (or 159675 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540164232 is about 23241.4335186107. The cubic root of 540164232 is about 814.4078310985.

The spelling of 540164232 in words is "five hundred forty million, one hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 159623 319246 478869 638492 957738 1276984 1436607 1915476 2873214 3830952 5746428 7502281 11492856 15004562 22506843 30009124 45013686 60018248 67520529 90027372 135041058 180054744 270082116 540164232