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2814006 = 231343839
BaseRepresentation
bin1010101111000000110110
312021222002110
422233000312
51210022011
6140151450
732630046
oct12570066
95258073
102814006
111652228
12b38586
13776ac0
14533726
153a8ba6
hex2af036

2814006 has 32 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 844704.

The previous prime is 2814001. The next prime is 2814013. The reversal of 2814006 is 6004182.

2814006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814001) 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, 2935 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

22814006 is an apocalyptic number.

2814006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 1677×1678.

It is a practical number, because each smaller number is the sum of distinct divisors of 2814006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2814006 is an abundant number, since it is smaller than the sum of its proper divisors (3395274).

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

2814006 is a wasteful number, since it uses less digits than its factorization.

2814006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2814006 is about 1677.4999254844. The cubic root of 2814006 is about 141.1805945078.

Adding to 2814006 its reverse (6004182), we get a palindrome (8818188).

The spelling of 2814006 in words is "two million, eight hundred fourteen thousand, six".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 839 1118 1677 1678 2517 3354 5034 10907 21814 32721 36077 65442 72154 108231 216462 469001 938002 1407003 2814006