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6923828080 = 245137391199
BaseRepresentation
bin1100111001011000…
…10011101101110000
3122212112101220120001
412130230103231300
5103134444444310
63103013355344
7333402365461
oct63454235560
918775356501
106923828080
112a33358574
121412938b54
138645b60c0
144997acd68
152a7cbe93a
hex19cb13b70

6923828080 has 80 divisors (see below), whose sum is σ = 17573875200. Its totient is φ = 2521442304.

The previous prime is 6923828063. The next prime is 6923828089. The reversal of 6923828080 is 808283296.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 6923828080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6923828089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30321 + ... + 121519.

It is an arithmetic number, because the mean of its divisors is an integer number (219673440).

Almost surely, 26923828080 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 6923828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786937600).

6923828080 is an abundant number, since it is smaller than the sum of its proper divisors (10650047120).

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

6923828080 is a wasteful number, since it uses less digits than its factorization.

6923828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91298 (or 91292 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 6923828080 is about 83209.5432026880. The cubic root of 6923828080 is about 1905.9672118287.

The spelling of 6923828080 in words is "six billion, nine hundred twenty-three million, eight hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 15184 18980 37960 75920 91199 182398 364796 455995 729592 911990 1185587 1459184 1823980 2371174 3647960 4742348 5927935 6657527 7295920 9484696 11855870 13315054 18969392 23711740 26630108 33287635 47423480 53260216 66575270 86547851 94846960 106520432 133150540 173095702 266301080 346191404 432739255 532602160 692382808 865478510 1384765616 1730957020 3461914040 6923828080