Search a number
-
+
166640640 = 2103519571
BaseRepresentation
bin10011110111010…
…11110000000000
3102121120012222120
421323223300000
5320130000030
624311404240
74062264525
oct1173536000
9377505876
10166640640
1186078641
1247983680
13286a723a
14181bb14c
15e96a010
hex9eebc00

166640640 has 176 divisors, whose sum is σ = 562024320. Its totient is φ = 42024960.

The previous prime is 166640611. The next prime is 166640651. The reversal of 166640640 is 46046661.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 291555 + ... + 292125.

It is an arithmetic number, because the mean of its divisors is an integer number (3193320).

Almost surely, 2166640640 is an apocalyptic number.

166640640 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 166640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281012160).

166640640 is an abundant number, since it is smaller than the sum of its proper divisors (395383680).

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

166640640 is a wasteful number, since it uses less digits than its factorization.

166640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 166640640 is about 12908.9364395368. The cubic root of 166640640 is about 550.2925606046.

The spelling of 166640640 in words is "one hundred sixty-six million, six hundred forty thousand, six hundred forty".