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2135000 = 2354761
BaseRepresentation
bin1000001001001111011000
311000110200002
420021033120
51021310000
6113432132
724101330
oct10111730
94013602
102135000
11122906a
1286b648
13599a1a
143d80c0
152c28d5
hex2093d8

2135000 has 80 divisors (see below), whose sum is σ = 5810640. Its totient is φ = 720000.

The previous prime is 2134991. The next prime is 2135017. The reversal of 2135000 is 5312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34970 + ... + 35030.

It is an arithmetic number, because the mean of its divisors is an integer number (72633).

22135000 is an apocalyptic number.

2135000 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 2135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905320).

2135000 is an abundant number, since it is smaller than the sum of its proper divisors (3675640).

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

2135000 is an equidigital number, since it uses as much as digits as its factorization.

2135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 2135000 is about 1461.1639196202. The cubic root of 2135000 is about 128.7654331580.

The spelling of 2135000 in words is "two million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 125 140 175 200 244 250 280 305 350 427 488 500 610 625 700 854 875 1000 1220 1250 1400 1525 1708 1750 2135 2440 2500 3050 3416 3500 4270 4375 5000 6100 7000 7625 8540 8750 10675 12200 15250 17080 17500 21350 30500 35000 38125 42700 53375 61000 76250 85400 106750 152500 213500 266875 305000 427000 533750 1067500 2135000