Search a number
-
+
1285000000 = 2657257
BaseRepresentation
bin100110010010111…
…1000101101000000
310022112221202121121
41030211320231000
510112430000000
6331302002024
743562214454
oct11445705500
93275852547
101285000000
115aa392579
122ba416314
131762b563b
14c2938664
1577c2ab1a
hex4c978b40

1285000000 has 112 divisors (see below), whose sum is σ = 3199796496. Its totient is φ = 512000000.

The previous prime is 1284999979. The next prime is 1285000033. The reversal of 1285000000 is 5821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1249763904 + 35236096 = 35352^2 + 5936^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 4999872 + ... + 5000128.

Almost surely, 21285000000 is an apocalyptic number.

1285000000 is a gapful number since it is divisible by the number (10) 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 1285000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599898248).

1285000000 is an abundant number, since it is smaller than the sum of its proper divisors (1914796496).

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

1285000000 is an frugal number, since it uses more digits than its factorization.

1285000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1285000000 is about 35846.8966578698. The cubic root of 1285000000 is about 1087.1789689655.

Adding to 1285000000 its reverse (5821), we get a palindrome (1285005821).

The spelling of 1285000000 in words is "one billion, two hundred eighty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 320 400 500 514 625 800 1000 1028 1250 1285 1600 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8000 8224 10000 10280 12500 12850 15625 16448 20000 20560 25000 25700 31250 32125 40000 41120 50000 51400 62500 64250 78125 82240 100000 102800 125000 128500 156250 160625 200000 205600 250000 257000 312500 321250 411200 500000 514000 625000 642500 803125 1000000 1028000 1250000 1285000 1606250 2056000 2500000 2570000 3212500 4015625 5000000 5140000 6425000 8031250 10280000 12850000 16062500 20078125 25700000 32125000 40156250 51400000 64250000 80312500 128500000 160625000 257000000 321250000 642500000 1285000000