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6400740 = 2235107997
BaseRepresentation
bin11000011010101011100100
3110001012011110
4120122223210
53114310430
6345105020
7105256023
oct30325344
913035143
106400740
113681a75
122188170
131431528
14bc88ba
158667b0
hex61aae4

6400740 has 48 divisors (see below), whose sum is σ = 18107712. Its totient is φ = 1689216.

The previous prime is 6400717. The next prime is 6400753. The reversal of 6400740 is 470046.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5922 + ... + 6918.

It is an arithmetic number, because the mean of its divisors is an integer number (377244).

Almost surely, 26400740 is an apocalyptic number.

6400740 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 6400740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053856).

6400740 is an abundant number, since it is smaller than the sum of its proper divisors (11706972).

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

6400740 is a wasteful number, since it uses less digits than its factorization.

6400740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6400740 is about 2529.9683792490. The cubic root of 6400740 is about 185.6707088515.

Adding to 6400740 its reverse (470046), we get a palindrome (6870786).

It can be divided in two parts, 6400 and 740, that added together give a triangular number (7140 = T119).

The spelling of 6400740 in words is "six million, four hundred thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 997 1070 1284 1605 1994 2140 2991 3210 3988 4985 5982 6420 9970 11964 14955 19940 29910 59820 106679 213358 320037 426716 533395 640074 1066790 1280148 1600185 2133580 3200370 6400740