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6730608000 = 27353140221
BaseRepresentation
bin1100100010010110…
…01110110110000000
3122101001211022102210
412101023032312000
5102241013424000
63031512142120
7325535136564
oct62113166600
918331738383
106730608000
112944286456
12137a097940
13833563aac
1447bc736a4
15295d54350
hex1912ced80

6730608000 has 128 divisors (see below), whose sum is σ = 22312124640. Its totient is φ = 1794816000.

The previous prime is 6730607993. The next prime is 6730608007. The reversal of 6730608000 is 8060376.

It is an interprime number because it is at equal distance from previous prime (6730607993) and next prime (6730608007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6730608007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22111 + ... + 118110.

Almost surely, 26730608000 is an apocalyptic number.

6730608000 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 6730608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156062320).

6730608000 is an abundant number, since it is smaller than the sum of its proper divisors (15581516640).

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

6730608000 is a wasteful number, since it uses less digits than its factorization.

6730608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140253 (or 140231 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6730608000 is about 82040.2827883961. The cubic root of 6730608000 is about 1888.0700323539.

Adding to 6730608000 its reverse (8060376), we get a palindrome (6738668376).

The spelling of 6730608000 in words is "six billion, seven hundred thirty million, six hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 140221 280442 420663 560884 701105 841326 1121768 1402210 1682652 2103315 2243536 2804420 3365304 3505525 4206630 4487072 5608840 6730608 7011050 8413260 8974144 10516575 11217680 13461216 14022100 16826520 17527625 17948288 21033150 22435360 26922432 28044200 33653040 35055250 42066300 44870720 52582875 53844864 56088400 67306080 70110500 84132600 89741440 105165750 112176800 134612160 140221000 168265200 210331500 224353600 269224320 280442000 336530400 420663000 448707200 560884000 673060800 841326000 1121768000 1346121600 1682652000 2243536000 3365304000 6730608000