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2105104800 = 253522114157
BaseRepresentation
bin111110101111001…
…0101100110100000
312102201010101220110
41331132111212200
513302401323200
6544515411320
7103111044531
oct17536254640
95381111813
102105104800
11990305437
124a8bb3b40
13277187556
1415d818688
15c4c24b50
hex7d7959a0

2105104800 has 144 divisors (see below), whose sum is σ = 6886246752. Its totient is φ = 558566400.

The previous prime is 2105104783. The next prime is 2105104801. The reversal of 2105104800 is 84015012.

It is not an unprimeable number, because it can be changed into a prime (2105104801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504322 + ... + 508478.

It is an arithmetic number, because the mean of its divisors is an integer number (47821158).

Almost surely, 22105104800 is an apocalyptic number.

2105104800 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 2105104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443123376).

2105104800 is an abundant number, since it is smaller than the sum of its proper divisors (4781141952).

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

2105104800 is a wasteful number, since it uses less digits than its factorization.

2105104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2105104800 is about 45881.4210765098. The cubic root of 2105104800 is about 1281.6159603437.

Adding to 2105104800 its reverse (84015012), we get a palindrome (2189119812).

The spelling of 2105104800 in words is "two billion, one hundred five million, one hundred four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 211 240 300 400 422 480 600 633 800 844 1055 1200 1266 1688 2110 2400 2532 3165 3376 4157 4220 5064 5275 6330 6752 8314 8440 10128 10550 12471 12660 15825 16628 16880 20256 20785 21100 24942 25320 31650 33256 33760 41570 42200 49884 50640 62355 63300 66512 83140 84400 99768 101280 103925 124710 126600 133024 166280 168800 199536 207850 249420 253200 311775 332560 399072 415700 498840 506400 623550 665120 831400 877127 997680 1247100 1662800 1754254 1995360 2494200 2631381 3325600 3508508 4385635 4988400 5262762 7017016 8771270 9976800 10525524 13156905 14034032 17542540 21051048 21928175 26313810 28068064 35085080 42102096 43856350 52627620 65784525 70170160 84204192 87712700 105255240 131569050 140340320 175425400 210510480 263138100 350850800 421020960 526276200 701701600 1052552400 2105104800