Search a number
-
+
2119900 = 2252172943
BaseRepresentation
bin1000000101100011011100
310222200221211
420011203130
51020314100
6113234204
724006316
oct10054334
93880854
102119900
111218792
12862964
13592ba3
143d27b6
152bd1ba
hex2058dc

2119900 has 72 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 752640.

The previous prime is 2119879. The next prime is 2119907. The reversal of 2119900 is 99112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49279 + ... + 49321.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

22119900 is an apocalyptic number.

2119900 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 2119900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

2119900 is an abundant number, since it is smaller than the sum of its proper divisors (3036020).

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

2119900 is a wasteful number, since it uses less digits than its factorization.

2119900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 2119900 is about 1455.9876373102. The cubic root of 2119900 is about 128.4611458784.

The spelling of 2119900 in words is "two million, one hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 43 50 58 68 85 86 100 116 145 170 172 215 290 340 425 430 493 580 725 731 850 860 986 1075 1247 1450 1462 1700 1972 2150 2465 2494 2900 2924 3655 4300 4930 4988 6235 7310 9860 12325 12470 14620 18275 21199 24650 24940 31175 36550 42398 49300 62350 73100 84796 105995 124700 211990 423980 529975 1059950 2119900