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66134250 = 232537131719
BaseRepresentation
bin1111110001001…
…0000011101010
311121102222010200
43330102003222
5113412244000
610321253030
71432063140
oct374220352
9147388120
1066134250
1134370706
121a194176
13109170c0
148ad7590
155c15500
hex3f120ea

66134250 has 384 divisors, whose sum is σ = 245306880. Its totient is φ = 12441600.

The previous prime is 66134249. The next prime is 66134251. The reversal of 66134250 is 5243166.

66134250 is a `hidden beast` number, since 6 + 613 + 42 + 5 + 0 = 666.

66134250 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 (66134249) and next prime (66134251).

It is not an unprimeable number, because it can be changed into a prime (66134251) 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 191 ways as a sum of consecutive naturals, for example, 3480741 + ... + 3480759.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 266134250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66134250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

66134250 is an abundant number, since it is smaller than the sum of its proper divisors (179172630).

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

66134250 is a wasteful number, since it uses less digits than its factorization.

66134250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

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

The square root of 66134250 is about 8132.2967235585. The cubic root of 66134250 is about 404.3978248055.

The spelling of 66134250 in words is "sixty-six million, one hundred thirty-four thousand, two hundred fifty".