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2128600 = 235229367
BaseRepresentation
bin1000000111101011011000
311000010220001
420013223120
51021103400
6113342344
724043555
oct10075330
94003801
102128600
111224281
128679b4
13596b36
143d5a2c
152c0a6a
hex207ad8

2128600 has 48 divisors (see below), whose sum is σ = 5133600. Its totient is φ = 819840.

The previous prime is 2128591. The next prime is 2128601. The reversal of 2128600 is 68212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5617 + ... + 5983.

It is an arithmetic number, because the mean of its divisors is an integer number (106950).

22128600 is an apocalyptic number.

2128600 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 2128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566800).

2128600 is an abundant number, since it is smaller than the sum of its proper divisors (3005000).

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

2128600 is a wasteful number, since it uses less digits than its factorization.

2128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2128600 is about 1458.9722409971. The cubic root of 2128600 is about 128.6366394653.

The spelling of 2128600 in words is "two million, one hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 367 580 725 734 1160 1450 1468 1835 2900 2936 3670 5800 7340 9175 10643 14680 18350 21286 36700 42572 53215 73400 85144 106430 212860 266075 425720 532150 1064300 2128600