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6827004380 = 22572191272887
BaseRepresentation
bin1100101101110101…
…11101000111011100
3122121210012202102002
412112322331013130
5102440203120010
63045234221432
7331115402600
oct62672750734
918553182362
106827004380
112993736489
1213a6424878
1384a515281
1448a9a7500
1529e5461a5
hex196ebd1dc

6827004380 has 144 divisors (see below), whose sum is σ = 17699512320. Its totient is φ = 2199270528.

The previous prime is 6827004377. The next prime is 6827004391. The reversal of 6827004380 is 834007286.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2363297 + ... + 2366183.

It is an arithmetic number, because the mean of its divisors is an integer number (122913280).

Almost surely, 26827004380 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 6827004380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849756160).

6827004380 is an abundant number, since it is smaller than the sum of its proper divisors (10872507940).

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

6827004380 is a wasteful number, since it uses less digits than its factorization.

6827004380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 6827004380 is about 82625.6883783730. The cubic root of 6827004380 is about 1897.0410433970.

The spelling of 6827004380 in words is "six billion, eight hundred twenty-seven million, four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 127 133 140 190 196 245 254 266 380 490 508 532 635 665 889 931 980 1270 1330 1778 1862 2413 2540 2660 2887 3556 3724 4445 4655 4826 5774 6223 8890 9310 9652 11548 12065 12446 14435 16891 17780 18620 20209 24130 24892 28870 31115 33782 40418 48260 54853 57740 62230 67564 80836 84455 101045 109706 118237 124460 141463 168910 202090 219412 236474 274265 282926 337820 366649 383971 404180 472948 548530 565852 591185 707315 733298 767942 1097060 1182370 1414630 1466596 1535884 1833245 1919855 2364740 2566543 2687797 2829260 3666490 3839710 5133086 5375594 6966331 7332980 7679420 10266172 10751188 12832715 13438985 13932662 17965801 25665430 26877970 27865324 34831655 35931602 48764317 51330860 53755940 69663310 71863204 89829005 97528634 139326620 179658010 195057268 243821585 341350219 359316020 487643170 682700438 975286340 1365400876 1706751095 3413502190 6827004380