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681963800 = 235272321179
BaseRepresentation
bin101000101001011…
…111000100011000
31202112020100110112
4220221133010120
52344040320200
6151400503452
722620411440
oct5051370430
91675210415
10681963800
1131aa50551
1217047ab88
13ab395a9b
1466801120
153ed0d535
hex28a5f118

681963800 has 96 divisors (see below), whose sum is σ = 1890950400. Its totient is φ = 223639680.

The previous prime is 681963791. The next prime is 681963803. The reversal of 681963800 is 8369186.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681963803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21611 + ... + 42789.

It is an arithmetic number, because the mean of its divisors is an integer number (19697400).

Almost surely, 2681963800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681963800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945475200).

681963800 is an abundant number, since it is smaller than the sum of its proper divisors (1208986600).

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

681963800 is a wasteful number, since it uses less digits than its factorization.

681963800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21225 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 681963800 is about 26114.4366203830. The cubic root of 681963800 is about 880.2116398679.

The spelling of 681963800 in words is "six hundred eighty-one million, nine hundred sixty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 21179 32200 42358 84716 105895 148253 169432 211790 296506 423580 487117 529475 593012 741265 847160 974234 1058950 1186024 1482530 1948468 2117900 2435585 2965060 3409819 3706325 3896936 4235800 4871170 5930120 6819638 7412650 9742340 12177925 13639276 14825300 17049095 19484680 24355850 27278552 29650600 34098190 48711700 68196380 85245475 97423400 136392760 170490950 340981900 681963800