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116805040 = 245112329199
BaseRepresentation
bin1101111011001…
…00110110110000
322010210022101121
412331210312300
5214400230130
615331312024
72615553322
oct675446660
9263708347
10116805040
115aa2a3a0
123314b614
131b278911
1411727612
15a3c3d7a
hex6f64db0

116805040 has 160 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 39029760.

The previous prime is 116805001. The next prime is 116805067. The reversal of 116805040 is 40508611.

It is a junction number, because it is equal to n+sod(n) for n = 116804996 and 116805014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586861 + ... + 587059.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2116805040 is an apocalyptic number.

116805040 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 116805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

116805040 is an abundant number, since it is smaller than the sum of its proper divisors (204602960).

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

116805040 is a wasteful number, since it uses less digits than its factorization.

116805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 116805040 is about 10807.6380398309. The cubic root of 116805040 is about 488.8255086187.

The spelling of 116805040 in words is "one hundred sixteen million, eight hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 29 40 44 46 55 58 80 88 92 110 115 116 145 176 184 199 220 230 232 253 290 319 368 398 440 460 464 506 580 638 667 796 880 920 995 1012 1160 1265 1276 1334 1592 1595 1840 1990 2024 2189 2320 2530 2552 2668 3184 3190 3335 3980 4048 4378 4577 5060 5104 5336 5771 6380 6670 7337 7960 8756 9154 10120 10672 10945 11542 12760 13340 14674 15920 17512 18308 20240 21890 22885 23084 25520 26680 28855 29348 35024 36616 36685 43780 45770 46168 50347 53360 57710 58696 63481 73232 73370 87560 91540 92336 100694 115420 117392 126962 132733 146740 175120 183080 201388 230840 251735 253924 265466 293480 317405 366160 402776 461680 503470 507848 530932 586960 634810 663665 805552 1006940 1015696 1061864 1269620 1327330 1460063 2013880 2123728 2539240 2654660 2920126 4027760 5078480 5309320 5840252 7300315 10618640 11680504 14600630 23361008 29201260 58402520 116805040