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681283800 = 233252478053
BaseRepresentation
bin101000100110111…
…001000011011000
31202110221210200100
4220212321003120
52343402040200
6151334135400
722611550101
oct5046710330
91673853610
10681283800
1131a62666a
121701b1560
13ab1b8412
14666a53a8
153ec26d00
hex289b90d8

681283800 has 144 divisors (see below), whose sum is σ = 2336948640. Its totient is φ = 177788160.

The previous prime is 681283777. The next prime is 681283829. The reversal of 681283800 is 8382186.

It is a super-2 number, since 2×6812838002 = 928295232284880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80574 + ... + 88626.

It is an arithmetic number, because the mean of its divisors is an integer number (16228810).

Almost surely, 2681283800 is an apocalyptic number.

681283800 is a gapful number since it is divisible by the number (60) 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 681283800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168474320).

681283800 is an abundant number, since it is smaller than the sum of its proper divisors (1655664840).

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

681283800 is a wasteful number, since it uses less digits than its factorization.

681283800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8122 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 681283800 is about 26101.4137548141. The cubic root of 681283800 is about 879.9189835884.

The spelling of 681283800 in words is "six hundred eighty-one million, two hundred eighty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 72 75 90 94 100 120 141 150 180 188 200 225 235 282 300 360 376 423 450 470 564 600 705 846 900 940 1128 1175 1410 1692 1800 1880 2115 2350 2820 3384 3525 4230 4700 5640 7050 8053 8460 9400 10575 14100 16106 16920 21150 24159 28200 32212 40265 42300 48318 64424 72477 80530 84600 96636 120795 144954 161060 193272 201325 241590 289908 322120 362385 378491 402650 483180 579816 603975 724770 756982 805300 966360 1135473 1207950 1449540 1513964 1610600 1811925 1892455 2270946 2415900 2899080 3027928 3406419 3623850 3784910 4541892 4831800 5677365 6812838 7247700 7569820 9083784 9462275 11354730 13625676 14495400 15139640 17032095 18924550 22709460 27251352 28386825 34064190 37849100 45418920 56773650 68128380 75698200 85160475 113547300 136256760 170320950 227094600 340641900 681283800