Search a number
-
+
6770373120 = 29335721999
BaseRepresentation
bin1100100111000101…
…11011001000000000
3122110211122120221000
412103202323020000
5102331203414440
63035452332000
7326530136100
oct62342731000
918424576830
106770373120
112964776595
12138b474000
1383b877754
14483265200
152995ab730
hex1938bb200

6770373120 has 480 divisors, whose sum is σ = 27989280000. Its totient is φ = 1546739712.

The previous prime is 6770373083. The next prime is 6770373121. The reversal of 6770373120 is 213730776.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6770373121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3385881 + ... + 3387879.

It is an arithmetic number, because the mean of its divisors is an integer number (58311000).

Almost surely, 26770373120 is an apocalyptic number.

6770373120 is a gapful number since it is divisible by the number (60) 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 6770373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640000).

6770373120 is an abundant number, since it is smaller than the sum of its proper divisors (21218906880).

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

6770373120 is a wasteful number, since it uses less digits than its factorization.

6770373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 6770373120 is about 82282.2770710680. The cubic root of 6770373120 is about 1891.7810371659.

The spelling of 6770373120 in words is "six billion, seven hundred seventy million, three hundred seventy-three thousand, one hundred twenty".