Search a number
-
+
2622096 = 2432131139
BaseRepresentation
bin1010000000001010010000
311221012211200
422000022100
51132401341
6132111200
731200411
oct12001220
94835750
102622096
111531024
12a65500
1370a649
144c3808
1536bdb6
hex280290

2622096 has 60 divisors (see below), whose sum is σ = 7447440. Its totient is φ = 861120.

The previous prime is 2622091. The next prime is 2622119. The reversal of 2622096 is 6902262.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2622091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18795 + ... + 18933.

It is an arithmetic number, because the mean of its divisors is an integer number (124124).

22622096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2622096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723720).

2622096 is an abundant number, since it is smaller than the sum of its proper divisors (4825344).

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

2622096 is a wasteful number, since it uses less digits than its factorization.

2622096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2622096 is about 1619.2887327466. The cubic root of 2622096 is about 137.8953207421.

It can be divided in two parts, 26 and 22096, that added together give a palindrome (22122).

The spelling of 2622096 in words is "two million, six hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 139 144 262 278 393 417 524 556 786 834 1048 1112 1179 1251 1572 1668 2096 2224 2358 2502 3144 3336 4716 5004 6288 6672 9432 10008 18209 18864 20016 36418 54627 72836 109254 145672 163881 218508 291344 327762 437016 655524 874032 1311048 2622096