Search a number
-
+
2085040 = 24567389
BaseRepresentation
bin111111101000010110000
310220221010201
413331002300
51013210130
6112404544
723502556
oct7750260
93827121
102085040
1111a4581
12846754
13580069
143c3bd6
152b2bca
hex1fd0b0

2085040 has 40 divisors (see below), whose sum is σ = 4932720. Its totient is φ = 819456.

The previous prime is 2085037. The next prime is 2085049. The reversal of 2085040 is 405802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2084999 and 2085017.

It is not an unprimeable number, because it can be changed into a prime (2085049) 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 7 ways as a sum of consecutive naturals, for example, 5166 + ... + 5554.

It is an arithmetic number, because the mean of its divisors is an integer number (123318).

22085040 is an apocalyptic number.

2085040 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 2085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466360).

2085040 is an abundant number, since it is smaller than the sum of its proper divisors (2847680).

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

2085040 is a wasteful number, since it uses less digits than its factorization.

2085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2085040 is about 1443.9667586202. The cubic root of 2085040 is about 127.7531048070.

The spelling of 2085040 in words is "two million, eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 389 536 670 778 1072 1340 1556 1945 2680 3112 3890 5360 6224 7780 15560 26063 31120 52126 104252 130315 208504 260630 417008 521260 1042520 2085040