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540131265 = 32512002917
BaseRepresentation
bin100000001100011…
…011111111000001
31101122100111210200
4200030123333001
52101233200030
6125332515413
716246016502
oct4014337701
91348314720
10540131265
11257987683
12130a7bb69
1387b965cb
1451a40ba9
1532643d60
hex2031bfc1

540131265 has 12 divisors (see below), whose sum is σ = 936227604. Its totient is φ = 288069984.

The previous prime is 540131261. The next prime is 540131269. The reversal of 540131265 is 562131045.

It is an interprime number because it is at equal distance from previous prime (540131261) and next prime (540131269).

It can be written as a sum of positive squares in 2 ways, for example, as 225991089 + 314140176 = 15033^2 + 17724^2 .

It is not a de Polignac number, because 540131265 - 22 = 540131261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540131261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6001414 + ... + 6001503.

It is an arithmetic number, because the mean of its divisors is an integer number (78018967).

Almost surely, 2540131265 is an apocalyptic number.

It is an amenable number.

540131265 is a deficient number, since it is larger than the sum of its proper divisors (396096339).

540131265 is a wasteful number, since it uses less digits than its factorization.

540131265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12002928 (or 12002925 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540131265 is about 23240.7242787311. The cubic root of 540131265 is about 814.3912626010.

It can be divided in two parts, 54013 and 1265, that added together give a triangular number (55278 = T332).

The spelling of 540131265 in words is "five hundred forty million, one hundred thirty-one thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 45 12002917 36008751 60014585 108026253 180043755 540131265