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540430677 = 3363131721
BaseRepresentation
bin100000001101100…
…101000101010101
31101122220201112000
4200031211011111
52101322240202
6125343145513
716251404433
oct4015450525
91348821460
10540430677
11258071626
12130ba5299
1387c6c987
1451abbd53
15326a291c
hex20365155

540430677 has 16 divisors (see below), whose sum is σ = 801932160. Its totient is φ = 359704800.

The previous prime is 540430673. The next prime is 540430727. The reversal of 540430677 is 776034045.

540430677 is a `hidden beast` number, since 540 + 43 + 0 + 6 + 77 = 666.

It is not a de Polignac number, because 540430677 - 22 = 540430673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540430673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 32897.

It is an arithmetic number, because the mean of its divisors is an integer number (50120760).

Almost surely, 2540430677 is an apocalyptic number.

It is an amenable number.

540430677 is a deficient number, since it is larger than the sum of its proper divisors (261501483).

540430677 is a wasteful number, since it uses less digits than its factorization.

540430677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32361 (or 32355 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 540430677 is about 23247.1649239214. The cubic root of 540430677 is about 814.5417158275.

The spelling of 540430677 in words is "five hundred forty million, four hundred thirty thousand, six hundred seventy-seven".

Divisors: 1 3 9 27 631 1893 5679 17037 31721 95163 285489 856467 20015951 60047853 180143559 540430677