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2104200 = 2332527167
BaseRepresentation
bin1000000001101110001000
310221220102100
420001232020
51014313300
6113033400
723612460
oct10015610
93856370
102104200
111207a0a
12855860
135889b7
143caba0
152b8700
hex201b88

2104200 has 144 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 478080.

The previous prime is 2104181. The next prime is 2104213. The reversal of 2104200 is 24012.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 35 ways as a sum of consecutive naturals, for example, 12517 + ... + 12683.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

22104200 is an apocalyptic number.

2104200 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 2104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2104200 is an abundant number, since it is smaller than the sum of its proper divisors (6020280).

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

2104200 is a wasteful number, since it uses less digits than its factorization.

2104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

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

The square root of 2104200 is about 1450.5860884484. The cubic root of 2104200 is about 128.1432315916.

Adding to 2104200 its reverse (24012), we get a palindrome (2128212).

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

The spelling of 2104200 in words is "two million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 167 168 175 180 200 210 225 252 280 300 315 334 350 360 420 450 501 504 525 600 630 668 700 835 840 900 1002 1050 1169 1260 1336 1400 1503 1575 1670 1800 2004 2100 2338 2505 2520 3006 3150 3340 3507 4008 4175 4200 4676 5010 5845 6012 6300 6680 7014 7515 8350 9352 10020 10521 11690 12024 12525 12600 14028 15030 16700 17535 20040 21042 23380 25050 28056 29225 30060 33400 35070 37575 42084 46760 50100 52605 58450 60120 70140 75150 84168 87675 100200 105210 116900 140280 150300 175350 210420 233800 263025 300600 350700 420840 526050 701400 1052100 2104200