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20808200 = 2352789167
BaseRepresentation
bin100111101100…
…0001000001000
31110011011111002
41033120020020
520311330300
62021554132
7341603210
oct117301010
943134432
1020808200
1110822566
126b75948
13440725a
142a99240
151c605d5
hex13d8208

20808200 has 96 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 7011840.

The previous prime is 20808107. The next prime is 20808233. The reversal of 20808200 is 280802.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124517 + ... + 124683.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 220808200 is an apocalyptic number.

20808200 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 20808200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

20808200 is an abundant number, since it is smaller than the sum of its proper divisors (35438200).

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

20808200 is a wasteful number, since it uses less digits than its factorization.

20808200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20808200 is about 4561.6005962820. The cubic root of 20808200 is about 275.0499082972.

It can be divided in two parts, 20808 and 200, that multiplied together give a square (4161600 = 20402).

The spelling of 20808200 in words is "twenty million, eight hundred eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 140 167 175 178 200 280 334 350 356 445 623 668 700 712 835 890 1169 1246 1336 1400 1670 1780 2225 2338 2492 3115 3340 3560 4175 4450 4676 4984 5845 6230 6680 8350 8900 9352 11690 12460 14863 15575 16700 17800 23380 24920 29225 29726 31150 33400 46760 58450 59452 62300 74315 104041 116900 118904 124600 148630 208082 233800 297260 371575 416164 520205 594520 743150 832328 1040410 1486300 2080820 2601025 2972600 4161640 5202050 10404100 20808200