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2119000 = 235313163
BaseRepresentation
bin1000000101010101011000
310222122201111
420011111120
51020302000
6113230104
724003562
oct10052530
93878644
102119000
111218044
12862334
13592660
143d2332
152bccba
hex205558

2119000 has 64 divisors (see below), whose sum is σ = 5372640. Its totient is φ = 777600.

The previous prime is 2118973. The next prime is 2119031. The reversal of 2119000 is 9112.

It is a super-2 number, since 2×21190002 = 8980322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12919 + ... + 13081.

22119000 is an apocalyptic number.

2119000 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 2119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686320).

2119000 is an abundant number, since it is smaller than the sum of its proper divisors (3253640).

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

2119000 is a wasteful number, since it uses less digits than its factorization.

2119000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2119000 is about 1455.6785359412. The cubic root of 2119000 is about 128.4429639836.

The spelling of 2119000 in words is "two million, one hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 163 200 250 260 325 326 500 520 650 652 815 1000 1300 1304 1625 1630 2119 2600 3250 3260 4075 4238 6500 6520 8150 8476 10595 13000 16300 16952 20375 21190 32600 40750 42380 52975 81500 84760 105950 163000 211900 264875 423800 529750 1059500 2119000