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6328140 = 22357131961
BaseRepresentation
bin11000001000111101001100
3102220111120120
4120020331030
53110000030
6343344540
7104534250
oct30107514
912814516
106328140
113632475
122152150
131407480
14baa260
15850010
hex608f4c

6328140 has 192 divisors, whose sum is σ = 23331840. Its totient is φ = 1244160.

The previous prime is 6328109. The next prime is 6328141. The reversal of 6328140 is 418236.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6328140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103710 + ... + 103770.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 26328140 is an apocalyptic number.

6328140 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 6328140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

6328140 is an abundant number, since it is smaller than the sum of its proper divisors (17003700).

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

6328140 is a wasteful number, since it uses less digits than its factorization.

6328140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6328140 is about 2515.5794561095. The cubic root of 6328140 is about 184.9660517206.

It can be divided in two parts, 63 and 28140, that added together give a triangular number (28203 = T237).

The spelling of 6328140 in words is "six million, three hundred twenty-eight thousand, one hundred forty".