Search a number
-
+
2439080 = 235731281
BaseRepresentation
bin1001010011011110101000
311120220210022
421103132220
51111022310
6124140012
726506010
oct11233650
94526708
102439080
111416576
12997608
13675257
14476c40
15332a55
hex2537a8

2439080 has 64 divisors (see below), whose sum is σ = 6497280. Its totient is φ = 806400.

The previous prime is 2439071. The next prime is 2439083. The reversal of 2439080 is 809342.

2439080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24390802 = 11898222492800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2439083) 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 15 ways as a sum of consecutive naturals, for example, 8540 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (101520).

22439080 is an apocalyptic number.

2439080 is a gapful number since it is divisible by the number (20) 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 2439080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248640).

2439080 is an abundant number, since it is smaller than the sum of its proper divisors (4058200).

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

2439080 is a wasteful number, since it uses less digits than its factorization.

2439080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2439080 is about 1561.7554225934. The cubic root of 2439080 is about 134.6093875717.

The spelling of 2439080 in words is "two million, four hundred thirty-nine thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 281 310 434 562 620 868 1085 1124 1240 1405 1736 1967 2170 2248 2810 3934 4340 5620 7868 8680 8711 9835 11240 15736 17422 19670 34844 39340 43555 60977 69688 78680 87110 121954 174220 243908 304885 348440 487816 609770 1219540 2439080