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6305040 = 243457139
BaseRepresentation
bin11000000011010100010000
3102212022220000
4120003110100
53103230130
6343050000
7104410020
oct30032420
912768800
106305040
113617085
122140900
1313c9ac1
14ba1a80
15848260
hex603510

6305040 has 200 divisors, whose sum is σ = 25206720. Its totient is φ = 1430784.

The previous prime is 6305029. The next prime is 6305041. The reversal of 6305040 is 405036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6305041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45291 + ... + 45429.

Almost surely, 26305040 is an apocalyptic number.

6305040 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 6305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

6305040 is an abundant number, since it is smaller than the sum of its proper divisors (18901680).

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

6305040 is a wasteful number, since it uses less digits than its factorization.

6305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6305040 is about 2510.9838709159. The cubic root of 6305040 is about 184.7407129770.

The spelling of 6305040 in words is "six million, three hundred five thousand, forty".