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640000000 = 21357
BaseRepresentation
bin100110001001011…
…010000000000000
31122121021100221201
4212021122000000
52302320000000
6143301230544
721600624133
oct4611320000
91577240851
10640000000
112a9299522
1215a402454
13a2792433
1460dda21a
153b2be96a
hex2625a000

640000000 has 112 divisors (see below), whose sum is σ = 1599898248. Its totient is φ = 256000000.

The previous prime is 639999967. The next prime is 640000019. The reversal of 640000000 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 4 ways, for example, as 386043904 + 253956096 = 19648^2 + 15936^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127999998 + ... + 128000002.

Almost surely, 2640000000 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 640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799949124).

640000000 is an abundant number, since it is smaller than the sum of its proper divisors (959898248).

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

640000000 is an frugal number, since it uses more digits than its factorization.

640000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 7 counting only the distinct ones).

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

The square root of 640000000 is about 25298.2212813470. The cubic root of 640000000 is about 861.7738760128.

Multiplying 640000000 by its sum of digits (10), we get a square (6400000000 = 800002).

640000000 divided by its sum of digits (10) gives a 6-th power (64000000 = 206).

Adding to 640000000 its reverse (46), we get a palindrome (640000046).

The spelling of 640000000 in words is "six hundred forty million", and thus it is an aban number.

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 4096 5000 5120 6250 6400 8000 8192 10000 10240 12500 12800 15625 16000 20000 20480 25000 25600 31250 32000 40000 40960 50000 51200 62500 64000 78125 80000 100000 102400 125000 128000 156250 160000 200000 204800 250000 256000 312500 320000 400000 500000 512000 625000 640000 800000 1000000 1024000 1250000 1280000 1600000 2000000 2500000 2560000 3200000 4000000 5000000 5120000 6400000 8000000 10000000 12800000 16000000 20000000 25600000 32000000 40000000 64000000 80000000 128000000 160000000 320000000 640000000