Search a number
-
+
2640320 = 26537223
BaseRepresentation
bin1010000100100111000000
311222010211122
422010213000
51133442240
6132331412
731304504
oct12044700
94863748
102640320
111543791
12a73b68
13715a27
144ca304
153724b5
hex2849c0

2640320 has 56 divisors (see below), whose sum is σ = 6486144. Its totient is φ = 1022976.

The previous prime is 2640317. The next prime is 2640343. The reversal of 2640320 is 230462.

It is an Ulam number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11729 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (115824).

22640320 is an apocalyptic number.

2640320 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 2640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243072).

2640320 is an abundant number, since it is smaller than the sum of its proper divisors (3845824).

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

2640320 is a wasteful number, since it uses less digits than its factorization.

2640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2640320 is about 1624.9061511361. The cubic root of 2640320 is about 138.2140485550.

Adding to 2640320 its reverse (230462), we get a palindrome (2870782).

The spelling of 2640320 in words is "two million, six hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 223 296 320 370 446 592 740 892 1115 1184 1480 1784 2230 2368 2960 3568 4460 5920 7136 8251 8920 11840 14272 16502 17840 33004 35680 41255 66008 71360 82510 132016 165020 264032 330040 528064 660080 1320160 2640320