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1666894320 = 24325713219103
BaseRepresentation
bin110001101011010…
…1100100111110000
311022011120000010200
41203112230213300
511403211104240
6433223155200
756210240130
oct14326544760
94264500120
101666894320
11785a11413
123a62a5b00
13207457b00
1411b548ac0
159b514930
hex635ac9f0

1666894320 has 720 divisors, whose sum is σ = 7363100160. Its totient is φ = 329951232.

The previous prime is 1666894309. The next prime is 1666894321. The reversal of 1666894320 is 234986661.

1666894320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666894321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16183389 + ... + 16183491.

It is an arithmetic number, because the mean of its divisors is an integer number (10226528).

Almost surely, 21666894320 is an apocalyptic number.

1666894320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1666894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681550080).

1666894320 is an abundant number, since it is smaller than the sum of its proper divisors (5696205840).

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

1666894320 is a wasteful number, since it uses less digits than its factorization.

1666894320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1666894320 is about 40827.6171237068. The cubic root of 1666894320 is about 1185.6850816135.

The spelling of 1666894320 in words is "one billion, six hundred sixty-six million, eight hundred ninety-four thousand, three hundred twenty".