[go: up one dir, main page]

Search a number
-
+
11803000 = 2353112937
BaseRepresentation
bin101101000001…
…100101111000
3211012122200011
4231001211320
511010144000
61100551304
7202216036
oct55014570
924178604
1011803000
116731850
123b52534
1325a3431
1417d3556
1510822ba
hexb41978

11803000 has 128 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 4032000.

The previous prime is 11802991. The next prime is 11803003. The reversal of 11803000 is 30811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11803003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318982 + ... + 319018.

Almost surely, 211803000 is an apocalyptic number.

11803000 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 11803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

11803000 is an abundant number, since it is smaller than the sum of its proper divisors (20208200).

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

11803000 is a wasteful number, since it uses less digits than its factorization.

11803000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11803000 is about 3435.5494465951. The cubic root of 11803000 is about 227.6831034048.

Adding to 11803000 its reverse (30811), we get a palindrome (11833811).

The spelling of 11803000 in words is "eleven million, eight hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 37 40 44 50 55 58 74 88 100 110 116 125 145 148 185 200 220 232 250 275 290 296 319 370 407 440 500 550 580 638 725 740 814 925 1000 1073 1100 1160 1276 1375 1450 1480 1595 1628 1850 2035 2146 2200 2552 2750 2900 3190 3256 3625 3700 4070 4292 4625 5365 5500 5800 6380 7250 7400 7975 8140 8584 9250 10175 10730 11000 11803 12760 14500 15950 16280 18500 20350 21460 23606 26825 29000 31900 37000 39875 40700 42920 47212 50875 53650 59015 63800 79750 81400 94424 101750 107300 118030 134125 159500 203500 214600 236060 268250 295075 319000 407000 472120 536500 590150 1073000 1180300 1475375 2360600 2950750 5901500 11803000