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2081100 = 223527991
BaseRepresentation
bin111111100000101001100
310220201201210
413330011030
51013043400
6112334420
723455230
oct7740514
93821653
102081100
1111a161a
12844410
1357b328
143c25c0
152b1950
hex1fc14c

2081100 has 72 divisors (see below), whose sum is σ = 6888448. Its totient is φ = 475200.

The previous prime is 2081099. The next prime is 2081129. The reversal of 2081100 is 11802.

2081100 = T7 + T8 + ... + T231.

It is a happy number.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605 + ... + 2595.

22081100 is an apocalyptic number.

2081100 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 2081100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444224).

2081100 is an abundant number, since it is smaller than the sum of its proper divisors (4807348).

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

2081100 is a wasteful number, since it uses less digits than its factorization.

2081100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2081100 is about 1442.6018161641. The cubic root of 2081100 is about 127.6725844306.

Adding to 2081100 its reverse (11802), we get a palindrome (2092902).

The spelling of 2081100 in words is "two million, eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 991 1050 1982 2100 2973 3964 4955 5946 6937 9910 11892 13874 14865 19820 20811 24775 27748 29730 34685 41622 49550 59460 69370 74325 83244 99100 104055 138740 148650 173425 208110 297300 346850 416220 520275 693700 1040550 2081100