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2002104 = 2333132331
BaseRepresentation
bin111101000110010111000
310202201101000
413220302320
51003031404
6110525000
723006016
oct7506270
93681330
102002104
111148235
12806760
135513a0
143a18b6
15298339
hex1e8cb8

2002104 has 128 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 570240.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002104 is 4012002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64569 + ... + 64599.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

22002104 is an apocalyptic number.

2002104 is a gapful number since it is divisible by the number (24) 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 2002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2002104 is an abundant number, since it is smaller than the sum of its proper divisors (4449096).

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

2002104 is a wasteful number, since it uses less digits than its factorization.

2002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002104 is about 1414.9572431703. The cubic root of 2002104 is about 126.0362707371.

Adding to 2002104 its reverse (4012002), we get a palindrome (6014106).

It can be divided in two parts, 200 and 2104, that added together give a square (2304 = 482).

The spelling of 2002104 in words is "two million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 31 36 39 46 52 54 62 69 72 78 92 93 104 108 117 124 138 156 184 186 207 216 234 248 276 279 299 312 351 372 403 414 468 552 558 598 621 702 713 744 806 828 837 897 936 1116 1196 1209 1242 1404 1426 1612 1656 1674 1794 2139 2232 2392 2418 2484 2691 2808 2852 3224 3348 3588 3627 4278 4836 4968 5382 5704 6417 6696 7176 7254 8073 8556 9269 9672 10764 10881 12834 14508 16146 17112 18538 19251 21528 21762 25668 27807 29016 32292 37076 38502 43524 51336 55614 64584 74152 77004 83421 87048 111228 154008 166842 222456 250263 333684 500526 667368 1001052 2002104