Search a number
-
+
2440080 = 243253389
BaseRepresentation
bin1001010011101110010000
311120222011100
421103232100
51111040310
6124144400
726511636
oct11235620
94528140
102440080
1114172a5
12998100
13675846
14477356
15332ec0
hex253b90

2440080 has 60 divisors (see below), whose sum is σ = 8197020. Its totient is φ = 650496.

The previous prime is 2440079. The next prime is 2440091. The reversal of 2440080 is 800442.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 665856 = 1332^2 + 816^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 2414.

It is an arithmetic number, because the mean of its divisors is an integer number (136617).

22440080 is an apocalyptic number.

2440080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440080 is an abundant number, since it is smaller than the sum of its proper divisors (5756940).

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

2440080 is a wasteful number, since it uses less digits than its factorization.

2440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2440080 is about 1562.0755423474. The cubic root of 2440080 is about 134.6277812550.

It can be divided in two parts, 24 and 40080, that added together give a palindrome (40104).

The spelling of 2440080 in words is "two million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3389 6778 10167 13556 16945 20334 27112 30501 33890 40668 50835 54224 61002 67780 81336 101670 122004 135560 152505 162672 203340 244008 271120 305010 406680 488016 610020 813360 1220040 2440080