[go: up one dir, main page]

Search a number
-
+
1324080 = 24335613
BaseRepresentation
bin101000011010000110000
32111021022000
411003100300
5314332310
644214000
714153202
oct5032060
92437260
101324080
1182488a
1253a300
133748a4
14266772
151b24c0
hex143430

1324080 has 80 divisors (see below), whose sum is σ = 4568160. Its totient is φ = 352512.

The previous prime is 1324069. The next prime is 1324093. The reversal of 1324080 is 804231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (57102).

21324080 is an apocalyptic number.

1324080 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 1324080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284080).

1324080 is an abundant number, since it is smaller than the sum of its proper divisors (3244080).

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

1324080 is a wasteful number, since it uses less digits than its factorization.

1324080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1324080 is about 1150.6867514663. The cubic root of 1324080 is about 109.8090350593.

The spelling of 1324080 in words is "one million, three hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 613 720 1080 1226 1839 2160 2452 3065 3678 4904 5517 6130 7356 9195 9808 11034 12260 14712 16551 18390 22068 24520 27585 29424 33102 36780 44136 49040 55170 66204 73560 82755 88272 110340 132408 147120 165510 220680 264816 331020 441360 662040 1324080