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2800668 = 2231321381
BaseRepresentation
bin1010101011110000011100
312021021210110
422223300130
51204110133
6140010020
732543133
oct12536034
95237713
102800668
111643202
12b30910
13770a00
1452c91a
153a4c63
hex2abc1c

2800668 has 36 divisors (see below), whose sum is σ = 7081368. Its totient is φ = 861120.

The previous prime is 2800663. The next prime is 2800703. The reversal of 2800668 is 8660082.

2800668 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 (2800663) 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 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 2718.

22800668 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 2800668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540684).

2800668 is an abundant number, since it is smaller than the sum of its proper divisors (4280700).

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

2800668 is a wasteful number, since it uses less digits than its factorization.

2800668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2800668 is about 1673.5196443424. The cubic root of 2800668 is about 140.9571823109.

The spelling of 2800668 in words is "two million, eight hundred thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1381 2028 2762 4143 5524 8286 16572 17953 35906 53859 71812 107718 215436 233389 466778 700167 933556 1400334 2800668