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66431000 = 235366431
BaseRepresentation
bin1111110101101…
…0100000011000
311122000001012102
43331122200120
5114001243000
610331502532
71434440246
oct375324030
9148001172
1066431000
1134553659
121a2b7a48
13109bc1ac
148b73796
155c733d5
hex3f5a818

66431000 has 32 divisors (see below), whose sum is σ = 155450880. Its totient is φ = 26572000.

The previous prime is 66430997. The next prime is 66431003. The reversal of 66431000 is 13466.

66431000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66430997) and next prime (66431003).

It is a super-2 number, since 2×664310002 = 8826155522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66431003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32216 + ... + 34215.

It is an arithmetic number, because the mean of its divisors is an integer number (4857840).

Almost surely, 266431000 is an apocalyptic number.

It is an amenable number.

66431000 is an abundant number, since it is smaller than the sum of its proper divisors (89019880).

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

66431000 is a wasteful number, since it uses less digits than its factorization.

66431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66452 (or 66438 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 66431000 is about 8150.5214557107. The cubic root of 66431000 is about 405.0017781764.

Adding to 66431000 its reverse (13466), we get a palindrome (66444466).

The spelling of 66431000 in words is "sixty-six million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 66431 132862 265724 332155 531448 664310 1328620 1660775 2657240 3321550 6643100 8303875 13286200 16607750 33215500 66431000