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6400000 = 21155
BaseRepresentation
bin11000011010100000000000
3110001011011001
4120122200000
53114300000
6345101344
7105253615
oct30324000
913034131
106400000
113681462
122187854
1314310a9
14bc850c
1586646a
hex61a800

6400000 has 72 divisors (see below), whose sum is σ = 15995070. Its totient is φ = 2560000.

The previous prime is 6399971. The next prime is 6400013. The reversal of 6400000 is 46.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 6390784 = 96^2 + 2528^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6400000.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1279998 + ... + 1280002.

Almost surely, 26400000 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 6400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997535).

6400000 is an abundant number, since it is smaller than the sum of its proper divisors (9595070).

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

6400000 is an frugal number, since it uses more digits than its factorization.

6400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 6400000 is about 2529.8221281347. The cubic root of 6400000 is about 185.6635533445.

Multiplying 6400000 by its sum of digits (10), we get a 6-th power (64000000 = 206).

6400000 divided by its sum of digits (10) gives a square (640000 = 8002).

Adding to 6400000 its reverse (46), we get a palindrome (6400046).

The spelling of 6400000 in words is "six million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 10240 12500 12800 16000 20000 25000 25600 32000 40000 50000 51200 64000 80000 100000 128000 160000 200000 256000 320000 400000 640000 800000 1280000 1600000 3200000 6400000