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2125100 = 225279269
BaseRepresentation
bin1000000110110100101100
310222222002102
420012310230
51021000400
6113314232
724030425
oct10066454
93888072
102125100
11122168a
12865978
13595373
143d464c
152be9d5
hex206d2c

2125100 has 36 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 836160.

The previous prime is 2125099. The next prime is 2125111. The reversal of 2125100 is 15212.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7766 + ... + 8034.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

22125100 is an apocalyptic number.

2125100 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 2125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2125100 is an abundant number, since it is smaller than the sum of its proper divisors (2562100).

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

2125100 is a wasteful number, since it uses less digits than its factorization.

2125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 2125100 is about 1457.7722730248. The cubic root of 2125100 is about 128.5660961927.

The spelling of 2125100 in words is "two million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 269 316 395 538 790 1076 1345 1580 1975 2690 3950 5380 6725 7900 13450 21251 26900 42502 85004 106255 212510 425020 531275 1062550 2125100