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2129260 = 225767227
BaseRepresentation
bin1000000111110101101100
311000011210111
420013311230
51021114020
6113345404
724045520
oct10076554
94004714
102129260
111224821
12868264
13597223
143d5d80
152c0d5a
hex207d6c

2129260 has 48 divisors (see below), whose sum is σ = 5209344. Its totient is φ = 715968.

The previous prime is 2129227. The next prime is 2129261. The reversal of 2129260 is 629212.

It is a happy number.

2129260 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 15 ways as a sum of consecutive naturals, for example, 9267 + ... + 9493.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

22129260 is an apocalyptic number.

2129260 is a gapful number since it is divisible by the number (20) 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 2129260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672).

2129260 is an abundant number, since it is smaller than the sum of its proper divisors (3080084).

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

2129260 is a wasteful number, since it uses less digits than its factorization.

2129260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2129260 is about 1459.1984100869. The cubic root of 2129260 is about 128.6499332435.

The spelling of 2129260 in words is "two million, one hundred twenty-nine thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 227 268 335 454 469 670 908 938 1135 1340 1589 1876 2270 2345 3178 4540 4690 6356 7945 9380 15209 15890 30418 31780 60836 76045 106463 152090 212926 304180 425852 532315 1064630 2129260