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6403140 = 2232535573
BaseRepresentation
bin11000011011010001000100
3110001022110100
4120123101010
53114400030
6345124100
7105266022
oct30332104
913038410
106403140
113683857
122189630
131432653
14bc9712
15867360
hex61b444

6403140 has 36 divisors (see below), whose sum is σ = 19423404. Its totient is φ = 1707456.

The previous prime is 6403127. The next prime is 6403141. The reversal of 6403140 is 413046.

It can be written as a sum of positive squares in 2 ways, for example, as 1633284 + 4769856 = 1278^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (6403141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17607 + ... + 17966.

It is an arithmetic number, because the mean of its divisors is an integer number (539539).

Almost surely, 26403140 is an apocalyptic number.

6403140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6403140 is an abundant number, since it is smaller than the sum of its proper divisors (13020264).

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

6403140 is a wasteful number, since it uses less digits than its factorization.

6403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6403140 is about 2530.4426490241. The cubic root of 6403140 is about 185.6939121071.

Adding to 6403140 its reverse (413046), we get a palindrome (6816186).

The spelling of 6403140 in words is "six million, four hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 35573 71146 106719 142292 177865 213438 320157 355730 426876 533595 640314 711460 1067190 1280628 1600785 2134380 3201570 6403140