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2109000 = 233531937
BaseRepresentation
bin1000000010111001001000
310222011000010
420002321020
51014442000
6113111520
723632455
oct10027110
93864003
102109000
111210583
128585a0
1358ac3a
143cc82c
152b9d50
hex202e48

2109000 has 128 divisors (see below), whose sum is σ = 7113600. Its totient is φ = 518400.

The previous prime is 2108993. The next prime is 2109011. The reversal of 2109000 is 9012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56982 + ... + 57018.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

22109000 is an apocalyptic number.

2109000 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 2109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556800).

2109000 is an abundant number, since it is smaller than the sum of its proper divisors (5004600).

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

2109000 is a wasteful number, since it uses less digits than its factorization.

2109000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2109000 is about 1452.2396496446. The cubic root of 2109000 is about 128.2405956572.

Adding to 2109000 its sum of digits (12), we get a palindrome (2109012).

The spelling of 2109000 in words is "two million, one hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 37 38 40 50 57 60 74 75 76 95 100 111 114 120 125 148 150 152 185 190 200 222 228 250 285 296 300 370 375 380 444 456 475 500 555 570 600 703 740 750 760 888 925 950 1000 1110 1140 1406 1425 1480 1500 1850 1900 2109 2220 2280 2375 2775 2812 2850 3000 3515 3700 3800 4218 4440 4625 4750 5550 5624 5700 7030 7125 7400 8436 9250 9500 10545 11100 11400 13875 14060 14250 16872 17575 18500 19000 21090 22200 27750 28120 28500 35150 37000 42180 52725 55500 57000 70300 84360 87875 105450 111000 140600 175750 210900 263625 351500 421800 527250 703000 1054500 2109000