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2100 = 223527
BaseRepresentation
bin100000110100
32212210
4200310
531400
613420
76060
oct4064
92783
102100
11163a
121270
13c57
14aa0
15950
hex834

2100 has 36 divisors (see below), whose sum is σ = 6944. Its totient is φ = 480.

The previous prime is 2099. The next prime is 2111. The reversal of 2100 is 12.

Adding to 2100 its reverse (12), we get a palindrome (2112).

Multipling 2100 by its reverse (12), we get a triangular number (25200 = T224).

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.

2100 is an undulating number in base 7.

It is a nialpdrome in base 10, base 14 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 303.

2100 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 2100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472).

2100 is an abundant number, since it is smaller than the sum of its proper divisors (4844).

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

2100 is a wasteful number, since it uses less digits than its factorization.

2100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 17 counting only the distinct ones).

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

The square root of 2100 is about 45.8257569496. The cubic root of 2100 is about 12.8057916499.

The spelling of 2100 in words is "two thousand, one hundred", and thus it is an iban number.

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 1050 2100