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2004100 = 225272409
BaseRepresentation
bin111101001010010000100
310202211002221
413221102010
51003112400
6110542124
723014600
oct7512204
93684087
102004100
11114978a
12807944
13552277
143a2500
15298c1a
hex1e9484

2004100 has 54 divisors (see below), whose sum is σ = 5071290. Its totient is φ = 685440.

The previous prime is 2004097. The next prime is 2004109. The reversal of 2004100 is 14002.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 1552516 = 672^2 + 1246^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2004109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4696 + ... + 5104.

22004100 is an apocalyptic number.

2004100 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 2004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535645).

2004100 is an abundant number, since it is smaller than the sum of its proper divisors (3067190).

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

2004100 is a wasteful number, since it uses less digits than its factorization.

2004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2004100 is about 1415.6623891310. The cubic root of 2004100 is about 126.0781408302.

Adding to 2004100 its reverse (14002), we get a palindrome (2018102).

The spelling of 2004100 in words is "two million, four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 409 490 700 818 980 1225 1636 2045 2450 2863 4090 4900 5726 8180 10225 11452 14315 20041 20450 28630 40082 40900 57260 71575 80164 100205 143150 200410 286300 400820 501025 1002050 2004100