Search a number
-
+
494000640 = 2933571021
BaseRepresentation
bin11101011100011…
…101101000000000
31021102112211111000
4131130131220000
52002431010030
6121004052000
715145636050
oct3534355000
91242484430
10494000640
11233939aa1
12119534000
137b464493
1449873560
152d580860
hex1d71da00

494000640 has 320 divisors, whose sum is σ = 2007371520. Its totient is φ = 112803840.

The previous prime is 494000567. The next prime is 494000699. The reversal of 494000640 is 46000494.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 483330 + ... + 484350.

It is an arithmetic number, because the mean of its divisors is an integer number (6273036).

Almost surely, 2494000640 is an apocalyptic number.

494000640 is a gapful number since it is divisible by the number (40) 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 494000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003685760).

494000640 is an abundant number, since it is smaller than the sum of its proper divisors (1513370880).

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

494000640 is a wasteful number, since it uses less digits than its factorization.

494000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 494000640 is about 22226.1251683689. The cubic root of 494000640 is about 790.5132807090.

The spelling of 494000640 in words is "four hundred ninety-four million, six hundred forty", and thus it is an aban number.