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681433800 = 233525572039
BaseRepresentation
bin101000100111011…
…101101011001000
31202111020102102220
4220213131223020
52343421340200
6151341254040
722613043315
oct5047355310
91674212386
10681433800
1131a719333
12170264320
13ab23b788
1466703d0c
153ec564a0
hex289ddac8

681433800 has 96 divisors (see below), whose sum is σ = 2117275200. Its totient is φ = 181300480.

The previous prime is 681433783. The next prime is 681433801. The reversal of 681433800 is 8334186.

681433800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (681433801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333181 + ... + 335219.

It is an arithmetic number, because the mean of its divisors is an integer number (22054950).

Almost surely, 2681433800 is an apocalyptic number.

681433800 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 681433800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058637600).

681433800 is an abundant number, since it is smaller than the sum of its proper divisors (1435841400).

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

681433800 is a wasteful number, since it uses less digits than its factorization.

681433800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 681433800 is about 26104.2870042451. The cubic root of 681433800 is about 879.9835568553.

Adding to 681433800 its reverse (8334186), we get a palindrome (689767986).

The spelling of 681433800 in words is "six hundred eighty-one million, four hundred thirty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 557 600 1114 1671 2039 2228 2785 3342 4078 4456 5570 6117 6684 8156 8355 10195 11140 12234 13368 13925 16312 16710 20390 22280 24468 27850 30585 33420 40780 41775 48936 50975 55700 61170 66840 81560 83550 101950 111400 122340 152925 167100 203900 244680 305850 334200 407800 611700 1135723 1223400 2271446 3407169 4542892 5678615 6814338 9085784 11357230 13628676 17035845 22714460 27257352 28393075 34071690 45428920 56786150 68143380 85179225 113572300 136286760 170358450 227144600 340716900 681433800