Search a number
-
+
1285820100 = 2232521428689
BaseRepresentation
bin100110010100100…
…0000111011000100
310022121111102120200
41030221000323010
510113132220400
6331331330500
743602201435
oct11451007304
93277442520
101285820100
115aa8a2744
122ba750a30
131765119c6
14c2aad48c
1577d3db00
hex4ca40ec4

1285820100 has 54 divisors (see below), whose sum is σ = 4030334490. Its totient is φ = 342885120.

The previous prime is 1285820089. The next prime is 1285820131. The reversal of 1285820100 is 10285821.

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 1283932224 = 1374^2 + 35832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 713445 + ... + 715244.

Almost surely, 21285820100 is an apocalyptic number.

1285820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1285820100 is an abundant number, since it is smaller than the sum of its proper divisors (2744514390).

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

1285820100 is a wasteful number, since it uses less digits than its factorization.

1285820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428709 (or 1428699 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1285820100 is about 35858.3337593927. Note that the first 3 decimals coincide. The cubic root of 1285820100 is about 1087.4102026528.

The spelling of 1285820100 in words is "one billion, two hundred eighty-five million, eight hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1428689 2857378 4286067 5714756 7143445 8572134 12858201 14286890 17144268 21430335 25716402 28573780 35717225 42860670 51432804 64291005 71434450 85721340 107151675 128582010 142868900 214303350 257164020 321455025 428606700 642910050 1285820100