Search a number
-
+
565000000 = 2657113
BaseRepresentation
bin100001101011010…
…011011101000000
31110101010222021221
4201223103131000
52124120000000
6132021524424
720000264215
oct4153233500
91411128257
10565000000
1126aa22954
12139273714
1390092b36
1455075b0c
153490761a
hex21ad3740

565000000 has 112 divisors (see below), whose sum is σ = 1413863568. Its totient is φ = 224000000.

The previous prime is 564999983. The next prime is 565000003. The reversal of 565000000 is 565.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 261404224 + 303595776 = 16168^2 + 17424^2 .

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 (565000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999944 + ... + 5000056.

Almost surely, 2565000000 is an apocalyptic number.

565000000 is a gapful number since it is divisible by the number (50) 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 565000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706931784).

565000000 is an abundant number, since it is smaller than the sum of its proper divisors (848863568).

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

565000000 is an frugal number, since it uses more digits than its factorization.

565000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 565000000 is about 23769.7286480094. The cubic root of 565000000 is about 826.7029409450.

Adding to 565000000 its reverse (565), we get a palindrome (565000565).

Multiplying 565000000 by its reverse (565), we get a square (319225000000 = 5650002).

565000000 divided by its reverse (565) gives a 6-th power (1000000 = 106).

The spelling of 565000000 in words is "five hundred sixty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 160 200 226 250 320 400 452 500 565 625 800 904 1000 1130 1250 1600 1808 2000 2260 2500 2825 3125 3616 4000 4520 5000 5650 6250 7232 8000 9040 10000 11300 12500 14125 15625 18080 20000 22600 25000 28250 31250 36160 40000 45200 50000 56500 62500 70625 78125 90400 100000 113000 125000 141250 156250 180800 200000 226000 250000 282500 312500 353125 452000 500000 565000 625000 706250 904000 1000000 1130000 1250000 1412500 1765625 2260000 2500000 2825000 3531250 4520000 5000000 5650000 7062500 8828125 11300000 14125000 17656250 22600000 28250000 35312500 56500000 70625000 113000000 141250000 282500000 565000000