Search a number
-
+
803090000 = 245480309
BaseRepresentation
bin101111110111100…
…010111001010000
32001222011012101002
4233313202321100
53121042340000
6211405001132
725621103156
oct5767427120
92058135332
10803090000
11382361449
121a4b531a8
13ca4c54ab
14789313d6
154a7878d5
hex2fde2e50

803090000 has 50 divisors (see below), whose sum is σ = 1944385410. Its totient is φ = 321232000.

The previous prime is 803089997. The next prime is 803090021. The reversal of 803090000 is 90308.

It can be written as a sum of positive squares in 5 ways, for example, as 170668096 + 632421904 = 13064^2 + 25148^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30155 + ... + 50154.

Almost surely, 2803090000 is an apocalyptic number.

803090000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

803090000 is an abundant number, since it is smaller than the sum of its proper divisors (1141295410).

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

803090000 is an equidigital number, since it uses as much as digits as its factorization.

803090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80337 (or 80316 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 803090000 is about 28338.8426016307. The cubic root of 803090000 is about 929.5114403091.

The spelling of 803090000 in words is "eight hundred three million, ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 80309 160618 321236 401545 642472 803090 1284944 1606180 2007725 3212360 4015450 6424720 8030900 10038625 16061800 20077250 32123600 40154500 50193125 80309000 100386250 160618000 200772500 401545000 803090000