Search a number
-
+
11803120 = 245723011
BaseRepresentation
bin101101000001…
…100111110000
3211012122211121
4231001213300
511010144440
61100552024
7202216300
oct55014760
924178747
1011803120
11673194a
123b52614
1325a34c4
1417d3600
15108234a
hexb419f0

11803120 has 60 divisors (see below), whose sum is σ = 31933224. Its totient is φ = 4045440.

The previous prime is 11803109. The next prime is 11803133. The reversal of 11803120 is 2130811.

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

It is a junction number, because it is equal to n+sod(n) for n = 11803094 and 11803103.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2415 + ... + 5425.

Almost surely, 211803120 is an apocalyptic number.

11803120 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 11803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966612).

11803120 is an abundant number, since it is smaller than the sum of its proper divisors (20130104).

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

11803120 is a wasteful number, since it uses less digits than its factorization.

11803120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11803120 is about 3435.5669110061. The cubic root of 11803120 is about 227.6838750131.

Adding to 11803120 its reverse (2130811), we get a palindrome (13933931).

The spelling of 11803120 in words is "eleven million, eight hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3011 3920 6022 12044 15055 21077 24088 30110 42154 48176 60220 84308 105385 120440 147539 168616 210770 240880 295078 337232 421540 590156 737695 843080 1180312 1475390 1686160 2360624 2950780 5901560 11803120