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99840840 = 233511431759
BaseRepresentation
bin1011111001101…
…11001101001000
320221212102212220
411330313031020
5201024401330
613523534040
72321430111
oct574671510
9227772786
1099840840
11513a29a0
122952a320
13178b9228
14d38d208
158b72710
hex5f37348

99840840 has 128 divisors (see below), whose sum is σ = 334540800. Its totient is φ = 23627520.

The previous prime is 99840821. The next prime is 99840869. The reversal of 99840840 is 4804899.

It is a junction number, because it is equal to n+sod(n) for n = 99840792 and 99840801.

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, 55881 + ... + 57639.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 299840840 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 99840840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167270400).

99840840 is an abundant number, since it is smaller than the sum of its proper divisors (234699960).

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

99840840 is a wasteful number, since it uses less digits than its factorization.

99840840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 99840840 is about 9992.0388309894. The cubic root of 99840840 is about 463.9125008413.

The spelling of 99840840 in words is "ninety-nine million, eight hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1759 1892 2365 2580 2838 3518 3784 4730 5160 5277 5676 7036 7095 8795 9460 10554 11352 14072 14190 17590 18920 19349 21108 26385 28380 35180 38698 42216 52770 56760 58047 70360 75637 77396 96745 105540 116094 151274 154792 193490 211080 226911 232188 290235 302548 378185 386980 453822 464376 580470 605096 756370 773960 832007 907644 1134555 1160940 1512740 1664014 1815288 2269110 2321880 2496021 3025480 3328028 4160035 4538220 4992042 6656056 8320070 9076440 9984084 12480105 16640140 19968168 24960210 33280280 49920420 99840840