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6400240 = 2457111039
BaseRepresentation
bin11000011010100011110000
3110001011110221
4120122203300
53114301430
6345102424
7105254410
oct30324360
913034427
106400240
113681660
122187a14
131431232
14bc8640
1586657a
hex61a8f0

6400240 has 80 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 1992960.

The previous prime is 6400231. The next prime is 6400241. The reversal of 6400240 is 420046.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5641 + ... + 6679.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 26400240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

6400240 is an abundant number, since it is smaller than the sum of its proper divisors (12170000).

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

6400240 is a wasteful number, since it uses less digits than its factorization.

6400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 6400240 is about 2529.8695618549. The cubic root of 6400240 is about 185.6658741099.

Adding to 6400240 its reverse (420046), we get a palindrome (6820286).

The spelling of 6400240 in words is "six million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1039 1232 1540 2078 3080 4156 5195 6160 7273 8312 10390 11429 14546 16624 20780 22858 29092 36365 41560 45716 57145 58184 72730 80003 83120 91432 114290 116368 145460 160006 182864 228580 290920 320012 400015 457160 581840 640024 800030 914320 1280048 1600060 3200120 6400240