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681260800 = 2852119677
BaseRepresentation
bin101000100110110…
…011011100000000
31202110220122010111
4220212303130000
52343400321200
6151333441104
722611423043
oct5046633400
91673818114
10681260800
1131a610360
121701a0194
13ab1aaacc
146669ac5a
153ec200ba
hex289b3700

681260800 has 108 divisors (see below), whose sum is σ = 1839710376. Its totient is φ = 247705600.

The previous prime is 681260719. The next prime is 681260803. The reversal of 681260800 is 8062186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681260803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65562 + ... + 75238.

Almost surely, 2681260800 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 681260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919855188).

681260800 is an abundant number, since it is smaller than the sum of its proper divisors (1158449576).

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

681260800 is a wasteful number, since it uses less digits than its factorization.

681260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9714 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 681260800 is about 26100.9731619340. The cubic root of 681260800 is about 879.9090815160.

The spelling of 681260800 in words is "six hundred eighty-one million, two hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 9677 14080 17600 19354 35200 38708 48385 70400 77416 96770 106447 154832 193540 212894 241925 309664 387080 425788 483850 532235 619328 774160 851576 967700 1064470 1238656 1548320 1703152 1935400 2128940 2477312 2661175 3096640 3406304 3870800 4257880 5322350 6193280 6812608 7741600 8515760 10644700 12386560 13625216 15483200 17031520 21289400 27250432 30966400 34063040 42578800 61932800 68126080 85157600 136252160 170315200 340630400 681260800