Search a number
-
+
8183040 = 28352131
BaseRepresentation
bin11111001101110100000000
3120101202000120
4133031310000
54043324130
6451220240
7126361155
oct37156400
916352016
108183040
11468a048
1228a7680
131906848
14113022c
15ab9910
hex7cdd00

8183040 has 72 divisors (see below), whose sum is σ = 26146848. Its totient is φ = 2181120.

The previous prime is 8183011. The next prime is 8183051. The reversal of 8183040 is 403818.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8183040.

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 7 ways as a sum of consecutive naturals, for example, 2775 + ... + 4905.

Almost surely, 28183040 is an apocalyptic number.

8183040 is a gapful number since it is divisible by the number (80) 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 8183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13073424).

8183040 is an abundant number, since it is smaller than the sum of its proper divisors (17963808).

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

8183040 is a wasteful number, since it uses less digits than its factorization.

8183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8183040 is about 2860.6013353839. The cubic root of 8183040 is about 201.5138457771.

Adding to 8183040 its reverse (403818), we get a palindrome (8586858).

The spelling of 8183040 in words is "eight million, one hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2131 3840 4262 6393 8524 10655 12786 17048 21310 25572 31965 34096 42620 51144 63930 68192 85240 102288 127860 136384 170480 204576 255720 272768 340960 409152 511440 545536 681920 818304 1022880 1363840 1636608 2045760 2727680 4091520 8183040