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2129268 = 223191929
BaseRepresentation
bin1000000111110101110100
311000011210210
420013311310
51021114033
6113345420
724045531
oct10076564
94004723
102129268
111224829
12868270
1359722b
143d5d88
152c0d63
hex207d74

2129268 has 24 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 705280.

The previous prime is 2129263. The next prime is 2129279. The reversal of 2129268 is 8629212.

2129268 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 (2129261) 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 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 2756.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

22129268 is an apocalyptic number.

It is an amenable number.

2129268 is an abundant number, since it is smaller than the sum of its proper divisors (2870412).

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

2129268 is a wasteful number, since it uses less digits than its factorization.

2129268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1125 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 2129268 is about 1459.2011513153. The cubic root of 2129268 is about 128.6500943633.

The spelling of 2129268 in words is "two million, one hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 191 382 573 764 929 1146 1858 2292 2787 3716 5574 11148 177439 354878 532317 709756 1064634 2129268