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66430125 = 31253
BaseRepresentation
bin1111110101101…
…0010010101101
311122000000000000
43331122102231
5114001231000
610331454513
71434434556
oct375322255
9148000000
1066430125
1134552a33
121a2b7439
13109bb988
148b7332d
155c73000
hex3f5a4ad

66430125 has 52 divisors (see below), whose sum is σ = 124357116. Its totient is φ = 35429400.

The previous prime is 66430121. The next prime is 66430163. The reversal of 66430125 is 52103466.

The cubic root of 66430125 is 405.

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

66430125 is a `hidden beast` number, since 6 + 643 + 0 + 12 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 64304361 = 1458^2 + 8019^2 .

It is not a de Polignac number, because 66430125 - 22 = 66430121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66430121) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 13286023 + ... + 13286027.

It is an arithmetic number, because the mean of its divisors is an integer number (2391483).

Almost surely, 266430125 is an apocalyptic number.

It is an amenable number.

66430125 is a deficient number, since it is larger than the sum of its proper divisors (57926991).

66430125 is an frugal number, since it uses more digits than its factorization.

66430125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66430125 is about 8150.4677779867.

Multiplying 66430125 by its sum of digits (27), we get a cube (1793613375 = 12153).

66430125 divided by its sum of digits (27) gives a cube (2460375 = 1353).

The spelling of 66430125 in words is "sixty-six million, four hundred thirty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 675 729 1125 1215 2025 2187 3375 3645 6075 6561 10125 10935 18225 19683 30375 32805 54675 59049 91125 98415 164025 177147 273375 295245 492075 531441 820125 885735 1476225 2460375 2657205 4428675 7381125 13286025 22143375 66430125