Search a number
-
+
2795128 = 237193771
BaseRepresentation
bin1010101010011001111000
312021000012021
422222121320
51203421003
6135524224
732521030
oct12523170
95230167
102795128
11163a026
12b29674
1376b32b
1452a8c0
153a32bd
hex2aa678

2795128 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 1088640.

The previous prime is 2795119. The next prime is 2795159. The reversal of 2795128 is 8215972.

2795128 is nontrivially palindromic in base 3.

2795128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (10080) is a multiple of the sum of its prime factors (140).

It is a junction number, because it is equal to n+sod(n) for n = 2795093 and 2795102.

It is a congruent number.

It is an unprimeable number.

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, 39333 + ... + 39403.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22795128 is an apocalyptic number.

2795128 is a gapful number since it is divisible by the number (28) 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 2795128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2795128 is an abundant number, since it is smaller than the sum of its proper divisors (3771272).

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

2795128 is a wasteful number, since it uses less digits than its factorization.

2795128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 2795128 is about 1671.8636308025. The cubic root of 2795128 is about 140.8641785159.

The spelling of 2795128 in words is "two million, seven hundred ninety-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 71 74 76 133 142 148 152 259 266 284 296 497 518 532 568 703 994 1036 1064 1349 1406 1988 2072 2627 2698 2812 3976 4921 5254 5396 5624 9443 9842 10508 10792 18389 18886 19684 21016 36778 37772 39368 49913 73556 75544 99826 147112 199652 349391 399304 698782 1397564 2795128