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66300096 = 2631272719
BaseRepresentation
bin1111110011101…
…0100011000000
311121202101122010
43330322203000
5113433100341
610325012520
71433353512
oct374724300
9147671563
1066300096
1134474275
121a254140
1310974735
148b3bbb2
155c49716
hex3f3a8c0

66300096 has 56 divisors (see below), whose sum is σ = 176865280. Its totient is φ = 21917952.

The previous prime is 66300079. The next prime is 66300131. The reversal of 66300096 is 69000366.

66300096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 23025 + ... + 25743.

Almost surely, 266300096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88432640).

66300096 is an abundant number, since it is smaller than the sum of its proper divisors (110565184).

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

66300096 is a wasteful number, since it uses less digits than its factorization.

66300096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 66300096 is about 8142.4870893358. The cubic root of 66300096 is about 404.7355810982.

The spelling of 66300096 in words is "sixty-six million, three hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 2719 3048 4064 5438 6096 8128 8157 10876 12192 16314 21752 24384 32628 43504 65256 87008 130512 174016 261024 345313 522048 690626 1035939 1381252 2071878 2762504 4143756 5525008 8287512 11050016 16575024 22100032 33150048 66300096