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2133000 = 23335379
BaseRepresentation
bin1000001000110000001000
311000100221000
420020300020
51021224000
6113415000
724062442
oct10106010
94010830
102133000
111227611
1286a460
13598b3c
143d7492
152c2000
hex208c08

2133000 has 128 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 561600.

The previous prime is 2132993. The next prime is 2133023. The reversal of 2133000 is 3312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26961 + ... + 27039.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

22133000 is an apocalyptic number.

2133000 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 2133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2133000 is an abundant number, since it is smaller than the sum of its proper divisors (5355000).

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

2133000 is a wasteful number, since it uses less digits than its factorization.

2133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2133000 is about 1460.4793733566. The cubic root of 2133000 is about 128.7252128108.

Adding to 2133000 its reverse (3312), we get a palindrome (2136312).

The spelling of 2133000 in words is "two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 79 90 100 108 120 125 135 150 158 180 200 216 225 237 250 270 300 316 360 375 395 450 474 500 540 600 632 675 711 750 790 900 948 1000 1080 1125 1185 1350 1422 1500 1580 1800 1896 1975 2133 2250 2370 2700 2844 3000 3160 3375 3555 3950 4266 4500 4740 5400 5688 5925 6750 7110 7900 8532 9000 9480 9875 10665 11850 13500 14220 15800 17064 17775 19750 21330 23700 27000 28440 29625 35550 39500 42660 47400 53325 59250 71100 79000 85320 88875 106650 118500 142200 177750 213300 237000 266625 355500 426600 533250 711000 1066500 2133000