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66681500 = 2253193691
BaseRepresentation
bin1111111001011…
…1101010011100
311122110202211012
43332113222130
5114032302000
610341114352
71436532464
oct376275234
9148422735
1066681500
1134704886
121a3b89b8
1310a79212
148bdaba4
155cc2735
hex3f97a9c

66681500 has 48 divisors (see below), whose sum is σ = 146598816. Its totient is φ = 26496000.

The previous prime is 66681499. The next prime is 66681521. The reversal of 66681500 is 518666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96155 + ... + 96845.

It is an arithmetic number, because the mean of its divisors is an integer number (3054142).

Almost surely, 266681500 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 66681500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73299408).

66681500 is an abundant number, since it is smaller than the sum of its proper divisors (79917316).

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

66681500 is a wasteful number, since it uses less digits than its factorization.

66681500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 66681500 is about 8165.8741112021. The cubic root of 66681500 is about 405.5102039179.

The spelling of 66681500 in words is "sixty-six million, six hundred eighty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 193 250 386 500 691 772 965 1382 1930 2764 3455 3860 4825 6910 9650 13820 17275 19300 24125 34550 48250 69100 86375 96500 133363 172750 266726 345500 533452 666815 1333630 2667260 3334075 6668150 13336300 16670375 33340750 66681500