Search a number
-
+
2841696 = 2533111323
BaseRepresentation
bin1010110101110001100000
312100101002000
422311301200
51211413241
6140524000
733103554
oct12656140
95311060
102841696
111671010
12b50600
137865a0
1453d864
153b1eb6
hex2b5c60

2841696 has 192 divisors, whose sum is σ = 10160640. Its totient is φ = 760320.

The previous prime is 2841691. The next prime is 2841733. The reversal of 2841696 is 6961482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2841696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2841691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123541 + ... + 123563.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

22841696 is an apocalyptic number.

2841696 is a gapful number since it is divisible by the number (26) 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 2841696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

2841696 is an abundant number, since it is smaller than the sum of its proper divisors (7318944).

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

2841696 is a wasteful number, since it uses less digits than its factorization.

2841696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2841696 is about 1685.7330749558. The cubic root of 2841696 is about 141.6421592362.

The spelling of 2841696 in words is "two million, eight hundred forty-one thousand, six hundred ninety-six".