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2100000 = 253557
BaseRepresentation
bin1000000000101100100000
310221200122210
420000230200
51014200000
6113002120
723564310
oct10005440
93850583
102100000
111204841
12853340
13586b06
143c9440
152b7350
hex200b20

2100000 has 144 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 480000.

The previous prime is 2099963. The next prime is 2100001. The reversal of 2100000 is 12.

2100000 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 299997 + ... + 300003.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

22100000 is an apocalyptic number.

2100000 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 2100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2100000 is an abundant number, since it is smaller than the sum of its proper divisors (5774496).

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

2100000 is an frugal number, since it uses more digits than its factorization.

2100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 2100000 is about 1449.1376746189. The cubic root of 2100000 is about 128.0579164987.

Adding to 2100000 its reverse (12), we get a palindrome (2100012).

The spelling of 2100000 in words is "two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 125 140 150 160 168 175 200 210 224 240 250 280 300 336 350 375 400 420 480 500 525 560 600 625 672 700 750 800 840 875 1000 1050 1120 1200 1250 1400 1500 1680 1750 1875 2000 2100 2400 2500 2625 2800 3000 3125 3360 3500 3750 4000 4200 4375 5000 5250 5600 6000 6250 7000 7500 8400 8750 9375 10000 10500 12000 12500 13125 14000 15000 16800 17500 18750 20000 21000 21875 25000 26250 28000 30000 35000 37500 42000 43750 50000 52500 60000 65625 70000 75000 84000 87500 100000 105000 131250 140000 150000 175000 210000 262500 300000 350000 420000 525000 700000 1050000 2100000