Search a number
-
+
2100900 = 2235247149
BaseRepresentation
bin1000000000111010100100
310221201220010
420000322210
51014212100
6113010220
723600034
oct10007244
93851803
102100900
11120548a
12853970
13587349
143c98c4
152b7750
hex200ea4

2100900 has 72 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 544640.

The previous prime is 2100899. The next prime is 2100913. The reversal of 2100900 is 90012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14026 + ... + 14174.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

22100900 is an apocalyptic number.

2100900 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 2100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2100900 is an abundant number, since it is smaller than the sum of its proper divisors (4148700).

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

2100900 is a wasteful number, since it uses less digits than its factorization.

2100900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2100900 is about 1449.4481708568. The cubic root of 2100900 is about 128.0762078740.

Adding to 2100900 its reverse (90012), we get a palindrome (2190912).

The spelling of 2100900 in words is "two million, one hundred thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 149 150 188 235 282 298 300 447 470 564 596 705 745 894 940 1175 1410 1490 1788 2235 2350 2820 2980 3525 3725 4470 4700 7003 7050 7450 8940 11175 14006 14100 14900 21009 22350 28012 35015 42018 44700 70030 84036 105045 140060 175075 210090 350150 420180 525225 700300 1050450 2100900