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116801820 = 223252389317
BaseRepresentation
bin1101111011001…
…00000100011100
322010210010222100
412331210010130
5214400124240
615331245100
72615541042
oct675440434
9263703870
10116801820
115aa27a33
1233149790
131b277305
1411726392
15a3c2e30
hex6f6411c

116801820 has 144 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 29365248.

The previous prime is 116801807. The next prime is 116801851. The reversal of 116801820 is 28108611.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 368302 + ... + 368618.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2116801820 is an apocalyptic number.

116801820 is a gapful number since it is divisible by the number (10) 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 116801820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

116801820 is an abundant number, since it is smaller than the sum of its proper divisors (258234660).

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

116801820 is a wasteful number, since it uses less digits than its factorization.

116801820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 116801820 is about 10807.4890700847. The cubic root of 116801820 is about 488.8210167103.

The spelling of 116801820 in words is "one hundred sixteen million, eight hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 89 90 92 115 138 178 180 207 230 267 276 317 345 356 414 445 460 534 634 690 801 828 890 951 1035 1068 1268 1335 1380 1585 1602 1780 1902 2047 2070 2670 2853 3170 3204 3804 4005 4094 4140 4755 5340 5706 6141 6340 7291 8010 8188 9510 10235 11412 12282 14265 14582 16020 18423 19020 20470 21873 24564 28213 28530 29164 30705 36455 36846 40940 43746 56426 57060 61410 65619 72910 73692 84639 87492 92115 109365 112852 122820 131238 141065 145820 169278 184230 218730 253917 262476 282130 328095 338556 368460 423195 437460 507834 564260 648899 656190 846390 1015668 1269585 1297798 1312380 1692780 1946697 2539170 2595596 3244495 3893394 5078340 5840091 6488990 7786788 9733485 11680182 12977980 19466970 23360364 29200455 38933940 58400910 116801820